151412188800 has 384 divisors, whose sum is σ = 506535704640. Its totient is φ = 39748239360.

The previous prime is 151412188787. The next prime is 151412188819. The reversal of 151412188800 is 8881214151.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257942107 + ... + 257942693.

Almost surely, 2^151412188800 is an apocalyptic number.

151412188800 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 151412188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253267852320).

151412188800 is an abundant number, since it is smaller than the sum of its proper divisors (355123515840).

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

151412188800 is a wasteful number, since it uses less digits than its factorization.

151412188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 39.

The spelling of 151412188800 in words is "one hundred fifty-one billion, four hundred twelve million, one hundred eighty-eight thousand, eight hundred".