151258090896 has 120 divisors (see below), whose sum is σ = 464140632384. Its totient is φ = 45603022080.

The previous prime is 151258090829. The next prime is 151258090943. The reversal of 151258090896 is 698090852151.

151258090896 is a `hidden beast` number, since 1 + 51 + 2 + 580 + 9 + 0 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69685 + ... + 554411.

Almost surely, 2^151258090896 is an apocalyptic number.

151258090896 is a gapful number since it is divisible by the number (16) 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 151258090896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232070316192).

151258090896 is an abundant number, since it is smaller than the sum of its proper divisors (312882541488).

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

151258090896 is a wasteful number, since it uses less digits than its factorization.

151258090896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484949 (or 484940 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 151258090896 in words is "one hundred fifty-one billion, two hundred fifty-eight million, ninety thousand, eight hundred ninety-six".