137270079232 has 576 divisors, whose sum is σ = 355369512960. Its totient is φ = 52022476800.

The previous prime is 137270079227. The next prime is 137270079239. The reversal of 137270079232 is 232970072731.

It is a super-4 number, since 4×137270079232⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137270079239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1415155408 + ... + 1415155504.

It is an arithmetic number, because the mean of its divisors is an integer number (616960960).

Almost surely, 2^137270079232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137270079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177684756480).

137270079232 is an abundant number, since it is smaller than the sum of its proper divisors (218099433728).

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

137270079232 is a wasteful number, since it uses less digits than its factorization.

137270079232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 43.

The spelling of 137270079232 in words is "one hundred thirty-seven billion, two hundred seventy million, seventy-nine thousand, two hundred thirty-two".