137532958752 has 48 divisors (see below), whose sum is σ = 412598878272. Its totient is φ = 39295130880.

The previous prime is 137532958747. The next prime is 137532958753. The reversal of 137532958752 is 257859235731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137532958692 and 137532958701.

It is not an unprimeable number, because it can be changed into a prime (137532958753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102330399 + ... + 102331742.

It is an arithmetic number, because the mean of its divisors is an integer number (8595809964).

Almost surely, 2^137532958752 is an apocalyptic number.

137532958752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137532958752 is an abundant number, since it is smaller than the sum of its proper divisors (275065919520).

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

137532958752 is a wasteful number, since it uses less digits than its factorization.

137532958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204662161 (or 204662153 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 57.

The spelling of 137532958752 in words is "one hundred thirty-seven billion, five hundred thirty-two million, nine hundred fifty-eight thousand, seven hundred fifty-two".