123137536500 has 960 divisors, whose sum is σ = 472630878720. Its totient is φ = 27578880000.

The previous prime is 123137536453. The next prime is 123137536541. The reversal of 123137536500 is 5635731321.

123137536500 is a `hidden beast` number, since 1 + 231 + 375 + 3 + 6 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 537718386 + ... + 537718614.

It is an arithmetic number, because the mean of its divisors is an integer number (492323832).

Almost surely, 2^123137536500 is an apocalyptic number.

123137536500 is a gapful number since it is divisible by the number (10) 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 123137536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236315439360).

123137536500 is an abundant number, since it is smaller than the sum of its proper divisors (349493342220).

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

123137536500 is a wasteful number, since it uses less digits than its factorization.

123137536500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 123137536500 in words is "one hundred twenty-three billion, one hundred thirty-seven million, five hundred thirty-six thousand, five hundred".