152140797761472 has 448 divisors, whose sum is σ = 498984477264000. Its totient is φ = 45134440759296.

The previous prime is 152140797761461. The next prime is 152140797761497. The reversal of 152140797761472 is 274167797041251.

152140797761472 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 4 + 0 + 7 + 9 + 7 + 7 + 614 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461717608 + ... + 462047000.

It is an arithmetic number, because the mean of its divisors is an integer number (1113804636750).

Almost surely, 2^{152140797761472} is an apocalyptic number.

152140797761472 is a gapful number since it is divisible by the number (12) 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 152140797761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249492238632000).

152140797761472 is an abundant number, since it is smaller than the sum of its proper divisors (346843679502528).

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

152140797761472 is a wasteful number, since it uses less digits than its factorization.

152140797761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330165 (or 330149 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 152140797761472 in words is "one hundred fifty-two trillion, one hundred forty billion, seven hundred ninety-seven million, seven hundred sixty-one thousand, four hundred seventy-two".