137508597954432 has 48 divisors (see below), whose sum is σ = 395695314429480. Its totient is φ = 45836199317760.

The previous prime is 137508597954407. The next prime is 137508597954437. The reversal of 137508597954432 is 234459795805731.

137508597954432 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 8 + 5 + 9 + 79 + 544 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×137508597954432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137508597954437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59682550044 + ... + 59682552347.

Almost surely, 2^{137508597954432} is an apocalyptic number.

137508597954432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137508597954432 is an abundant number, since it is smaller than the sum of its proper divisors (258186716475048).

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

137508597954432 is a wasteful number, since it uses less digits than its factorization.

137508597954432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119365102411 (or 119365102396 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 137508597954432 in words is "one hundred thirty-seven trillion, five hundred eight billion, five hundred ninety-seven million, nine hundred fifty-four thousand, four hundred thirty-two".