137052240 has 240 divisors, whose sum is σ = 479255040. Its totient is φ = 32348160.

The previous prime is 137052211. The next prime is 137052247. The reversal of 137052240 is 42250731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 137052240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137052247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257306 + ... + 1257414.

It is an arithmetic number, because the mean of its divisors is an integer number (1996896).

Almost surely, 2^137052240 is an apocalyptic number.

137052240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239627520).

137052240 is an abundant number, since it is smaller than the sum of its proper divisors (342202800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137052240 is a wasteful number, since it uses less digits than its factorization.

137052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 137052240 is about 11706.9312802288. The cubic root of 137052240 is about 515.5791893920.

137052240 divided by its sum of digits (24) gives a triangular number (5710510 = T₃₃₇₉).

The spelling of 137052240 in words is "one hundred thirty-seven million, fifty-two thousand, two hundred forty".