151332153012000 has 768 divisors, whose sum is σ = 560581823692800. Its totient is φ = 39648399436800.

The previous prime is 151332153011993. The next prime is 151332153012049. The reversal of 151332153012000 is 210351233151.

151332153012000 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 3 + 2 + 1 + 530 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1412694441 + ... + 1412801559.

It is an arithmetic number, because the mean of its divisors is an integer number (729924249600).

Almost surely, 2^{151332153012000} is an apocalyptic number.

151332153012000 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 151332153012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280290911846400).

151332153012000 is an abundant number, since it is smaller than the sum of its proper divisors (409249670680800).

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

151332153012000 is a wasteful number, since it uses less digits than its factorization.

151332153012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107383 (or 107359 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 151332153012000 in words is "one hundred fifty-one trillion, three hundred thirty-two billion, one hundred fifty-three million, twelve thousand".