137493440 has 56 divisors (see below), whose sum is σ = 374184672. Its totient is φ = 47139840.

The previous prime is 137493431. The next prime is 137493449. The reversal of 137493440 is 44394731.

It is an interprime number because it is at equal distance from previous prime (137493431) and next prime (137493449).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 137493440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137493449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28451 + ... + 32930.

Almost surely, 2^137493440 is an apocalyptic number.

137493440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137493440 is an abundant number, since it is smaller than the sum of its proper divisors (236691232).

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

137493440 is an equidigital number, since it uses as much as digits as its factorization.

137493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61405 (or 61395 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 137493440 is about 11725.7596768823. The cubic root of 137493440 is about 516.1318494067.

The spelling of 137493440 in words is "one hundred thirty-seven million, four hundred ninety-three thousand, four hundred forty".