151612591104000 has 3136 divisors, whose sum is σ = 647629405637760. Its totient is φ = 35086506393600.

The previous prime is 151612591103951. The next prime is 151612591104067. The reversal of 151612591104000 is 401195216151.

It is a happy number.

151612591104000 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 12 + 591 + 10 + 40 + 0 + 0 = 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 223 ways as a sum of consecutive naturals, for example, 164975615541 + ... + 164975616459.

Almost surely, 2^{151612591104000} is an apocalyptic number.

151612591104000 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 151612591104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323814702818880).

151612591104000 is an abundant number, since it is smaller than the sum of its proper divisors (496016814533760).

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

151612591104000 is an frugal number, since it uses more digits than its factorization.

151612591104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 151612591104000 in words is "one hundred fifty-one trillion, six hundred twelve billion, five hundred ninety-one million, one hundred four thousand".