137432792952 has 768 divisors, whose sum is σ = 495947612160. Its totient is φ = 33395991552.

The previous prime is 137432792941. The next prime is 137432792971. The reversal of 137432792952 is 259297234731.

137432792952 is a `hidden beast` number, since 1 + 37 + 432 + 7 + 92 + 95 + 2 = 666.

Its product of digits (5715360) is a multiple of the sum of its prime factors (392).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 822950773 + ... + 822950939.

It is an arithmetic number, because the mean of its divisors is an integer number (645765120).

Almost surely, 2^137432792952 is an apocalyptic number.

137432792952 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 137432792952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247973806080).

137432792952 is an abundant number, since it is smaller than the sum of its proper divisors (358514819208).

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

137432792952 is a wasteful number, since it uses less digits than its factorization.

137432792952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 137432792952 in words is "one hundred thirty-seven billion, four hundred thirty-two million, seven hundred ninety-two thousand, nine hundred fifty-two".