137253257232 has 160 divisors (see below), whose sum is σ = 436846540032. Its totient is φ = 36161206272.

The previous prime is 137253257209. The next prime is 137253257269. The reversal of 137253257232 is 232752352731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4339138 + ... + 4370654.

Almost surely, 2^137253257232 is an apocalyptic number.

137253257232 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 137253257232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218423270016).

137253257232 is an abundant number, since it is smaller than the sum of its proper divisors (299593282800).

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

137253257232 is a wasteful number, since it uses less digits than its factorization.

137253257232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32545 (or 32539 counting only the distinct ones).

The product of its digits is 529200, while the sum is 42.

The spelling of 137253257232 in words is "one hundred thirty-seven billion, two hundred fifty-three million, two hundred fifty-seven thousand, two hundred thirty-two".