151408800 has 216 divisors, whose sum is σ = 565768476. Its totient is φ = 37969920.

The previous prime is 151408799. The next prime is 151408801. The reversal of 151408800 is 8804151.

It is an interprime number because it is at equal distance from previous prime (151408799) and next prime (151408801).

It can be written as a sum of positive squares in 6 ways, for example, as 96589584 + 54819216 = 9828^2 + 7404^2 .

It is not an unprimeable number, because it can be changed into a prime (151408801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121782 + ... + 123018.

Almost surely, 2^151408800 is an apocalyptic number.

151408800 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 151408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282884238).

151408800 is an abundant number, since it is smaller than the sum of its proper divisors (414359676).

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

151408800 is a wasteful number, since it uses less digits than its factorization.

151408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 151408800 is about 12304.8283206228. The cubic root of 151408800 is about 532.9875188772.

The spelling of 151408800 in words is "one hundred fifty-one million, four hundred eight thousand, eight hundred".