151319712600 has 1440 divisors, whose sum is σ = 656815104000. Its totient is φ = 32097461760.

The previous prime is 151319712587. The next prime is 151319712623. The reversal of 151319712600 is 6217913151.

It is a happy number.

151319712600 is a `hidden beast` number, since 1 + 5 + 1 + 31 + 9 + 7 + 12 + 600 = 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 359 ways as a sum of consecutive naturals, for example, 1191493737 + ... + 1191493863.

It is an arithmetic number, because the mean of its divisors is an integer number (456121600).

Almost surely, 2^151319712600 is an apocalyptic number.

151319712600 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 151319712600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328407552000).

151319712600 is an abundant number, since it is smaller than the sum of its proper divisors (505495391400).

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

151319712600 is a wasteful number, since it uses less digits than its factorization.

151319712600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 151319712600 in words is "one hundred fifty-one billion, three hundred nineteen million, seven hundred twelve thousand, six hundred".