151951628400 has 480 divisors, whose sum is σ = 585175379712. Its totient is φ = 33210777600.

The previous prime is 151951628399. The next prime is 151951628429. The reversal of 151951628400 is 4826159151.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7368504 + ... + 7389096.

Almost surely, 2^151951628400 is an apocalyptic number.

151951628400 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 151951628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292587689856).

151951628400 is an abundant number, since it is smaller than the sum of its proper divisors (433223751312).

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

151951628400 is a wasteful number, since it uses less digits than its factorization.

151951628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20681 (or 20670 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 151951628400 in words is "one hundred fifty-one billion, nine hundred fifty-one million, six hundred twenty-eight thousand, four hundred".