151115691600 has 360 divisors, whose sum is σ = 529467631992. Its totient is φ = 39911424000.

The previous prime is 151115691577. The next prime is 151115691659. The reversal of 151115691600 is 6196511151.

It is a happy number.

151115691600 is a `hidden beast` number, since 1 + 511 + 1 + 56 + 91 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3862373904 + 147253317696 = 62148^2 + 383736^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 215571250 + ... + 215571950.

Almost surely, 2^151115691600 is an apocalyptic number.

151115691600 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 151115691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264733815996).

151115691600 is an abundant number, since it is smaller than the sum of its proper divisors (378351940392).

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

151115691600 is a wasteful number, since it uses less digits than its factorization.

151115691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

It can be divided in two parts, 1511156 and 91600, that added together give a square (1602756 = 1266²).

The spelling of 151115691600 in words is "one hundred fifty-one billion, one hundred fifteen million, six hundred ninety-one thousand, six hundred".