151638912000 has 1408 divisors, whose sum is σ = 620781408000. Its totient is φ = 36333158400.

The previous prime is 151638911947. The next prime is 151638912013. The reversal of 151638912000 is 219836151.

151638912000 is a `hidden beast` number, since 1 + 5 + 1 + 638 + 9 + 12 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1703807956 + ... + 1703808044.

Almost surely, 2^151638912000 is an apocalyptic number.

151638912000 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 151638912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310390704000).

151638912000 is an abundant number, since it is smaller than the sum of its proper divisors (469142496000).

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

151638912000 is a wasteful number, since it uses less digits than its factorization.

151638912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 151638912000 in words is "one hundred fifty-one billion, six hundred thirty-eight million, nine hundred twelve thousand".