137265208512 has 224 divisors, whose sum is σ = 394894393344. Its totient is φ = 41953612800.

The previous prime is 137265208511. The next prime is 137265208541. The reversal of 137265208512 is 215802562731.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137265208511) 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, 14643187 + ... + 14652557.

Almost surely, 2^137265208512 is an apocalyptic number.

137265208512 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 137265208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197447196672).

137265208512 is an abundant number, since it is smaller than the sum of its proper divisors (257629184832).

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

137265208512 is a wasteful number, since it uses less digits than its factorization.

137265208512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 137265208512 in words is "one hundred thirty-seven billion, two hundred sixty-five million, two hundred eight thousand, five hundred twelve".