42115000112136 has 512 divisors, whose sum is σ = 136190113920000. Its totient is φ = 11810904440832.

The previous prime is 42115000112113. The next prime is 42115000112173. The reversal of 42115000112136 is 63121100051124.

42115000112136 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 500 + 0 + 1 + 121 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21787376226 + ... + 21787378158.

It is an arithmetic number, because the mean of its divisors is an integer number (265996316250).

Almost surely, 2^{42115000112136} 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 42115000112136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68095056960000).

42115000112136 is an abundant number, since it is smaller than the sum of its proper divisors (94075113807864).

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

42115000112136 is a wasteful number, since it uses less digits than its factorization.

42115000112136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 42115000112136 in words is "forty-two trillion, one hundred fifteen billion, one hundred twelve thousand, one hundred thirty-six".