151398436800 has 1008 divisors, whose sum is σ = 590202662112. Its totient is φ = 33639628800.

The previous prime is 151398436799. The next prime is 151398436831. The reversal of 151398436800 is 8634893151.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151398436800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2566075171 + ... + 2566075229.

It is an arithmetic number, because the mean of its divisors is an integer number (585518514).

Almost surely, 2^151398436800 is an apocalyptic number.

151398436800 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 151398436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295101331056).

151398436800 is an abundant number, since it is smaller than the sum of its proper divisors (438804225312).

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

151398436800 is a wasteful number, since it uses less digits than its factorization.

151398436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 151398436800 in words is "one hundred fifty-one billion, three hundred ninety-eight million, four hundred thirty-six thousand, eight hundred".