115256151504 has 320 divisors, whose sum is σ = 365976576000. Its totient is φ = 34509017088.

The previous prime is 115256151457. The next prime is 115256151511. The reversal of 115256151504 is 405151652511.

115256151504 is a `hidden beast` number, since 1 + 1 + 5 + 25 + 615 + 15 + 0 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 37799772 + ... + 37802820.

It is an arithmetic number, because the mean of its divisors is an integer number (1143676800).

Almost surely, 2^115256151504 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 115256151504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288000).

115256151504 is an abundant number, since it is smaller than the sum of its proper divisors (250720424496).

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

115256151504 is a wasteful number, since it uses less digits than its factorization.

115256151504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 115256151504 in words is "one hundred fifteen billion, two hundred fifty-six million, one hundred fifty-one thousand, five hundred four".