137960500205952 has 512 divisors, whose sum is σ = 438940696320000. Its totient is φ = 42639183157248.

The previous prime is 137960500205897. The next prime is 137960500205987. The reversal of 137960500205952 is 259502005069731.

137960500205952 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 60 + 500 + 20 + 5 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1114059174 + ... + 1114183002.

It is an arithmetic number, because the mean of its divisors is an integer number (857306047500).

Almost surely, 2^{137960500205952} is an apocalyptic number.

137960500205952 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 137960500205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219470348160000).

137960500205952 is an abundant number, since it is smaller than the sum of its proper divisors (300980196114048).

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

137960500205952 is an equidigital number, since it uses as much as digits as its factorization.

137960500205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123956 (or 123900 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 137960500205952 in words is "one hundred thirty-seven trillion, nine hundred sixty billion, five hundred million, two hundred five thousand, nine hundred fifty-two".