137355812352 has 240 divisors, whose sum is σ = 433415473920. Its totient is φ = 41530675200.

The previous prime is 137355812311. The next prime is 137355812357. The reversal of 137355812352 is 253218553731.

137355812352 is a `hidden beast` number, since 1 + 3 + 7 + 35 + 581 + 2 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137355812298 and 137355812307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137355812357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24885049 + ... + 24890567.

It is an arithmetic number, because the mean of its divisors is an integer number (1805897808).

Almost surely, 2^137355812352 is an apocalyptic number.

137355812352 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 137355812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216707736960).

137355812352 is an abundant number, since it is smaller than the sum of its proper divisors (296059661568).

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

137355812352 is a wasteful number, since it uses less digits than its factorization.

137355812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6026 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 137355812352 in words is "one hundred thirty-seven billion, three hundred fifty-five million, eight hundred twelve thousand, three hundred fifty-two".