137255530752 has 288 divisors, whose sum is σ = 422887248000. Its totient is φ = 43874058240.

The previous prime is 137255530747. The next prime is 137255530759. The reversal of 137255530752 is 257035552731.

137255530752 is a `hidden beast` number, since 1 + 3 + 7 + 25 + 553 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 137255530698 and 137255530707.

It is not an unprimeable number, because it can be changed into a prime (137255530759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16716024 + ... + 16724232.

It is an arithmetic number, because the mean of its divisors is an integer number (1468358500).

Almost surely, 2^137255530752 is an apocalyptic number.

137255530752 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 137255530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211443624000).

137255530752 is an abundant number, since it is smaller than the sum of its proper divisors (285631717248).

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

137255530752 is an equidigital number, since it uses as much as digits as its factorization.

137255530752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 137255530752 in words is "one hundred thirty-seven billion, two hundred fifty-five million, five hundred thirty thousand, seven hundred fifty-two".