151456991400 has 2304 divisors, whose sum is σ = 691555737600. Its totient is φ = 30233088000.

The previous prime is 151456991393. The next prime is 151456991423. The reversal of 151456991400 is 4199654151.

151456991400 is a `hidden beast` number, since 1 + 51 + 456 + 9 + 9 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4093432182 + ... + 4093432218.

It is an arithmetic number, because the mean of its divisors is an integer number (300154400).

Almost surely, 2^151456991400 is an apocalyptic number.

151456991400 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 151456991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345777868800).

151456991400 is an abundant number, since it is smaller than the sum of its proper divisors (540098746200).

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

151456991400 is a wasteful number, since it uses less digits than its factorization.

151456991400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 151456991400 in words is "one hundred fifty-one billion, four hundred fifty-six million, nine hundred ninety-one thousand, four hundred".