151250400 has 216 divisors, whose sum is σ = 609742224. Its totient is φ = 34560000.

The previous prime is 151250321. The next prime is 151250447. The reversal of 151250400 is 4052151.

151250400 is a `hidden beast` number, since 15 + 1 + 250 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48900 + ... + 51900.

Almost surely, 2^151250400 is an apocalyptic number.

151250400 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 151250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304871112).

151250400 is an abundant number, since it is smaller than the sum of its proper divisors (458491824).

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

151250400 is a wasteful number, since it uses less digits than its factorization.

151250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 151250400 is about 12298.3901385507. The cubic root of 151250400 is about 532.8015880698.

The spelling of 151250400 in words is "one hundred fifty-one million, two hundred fifty thousand, four hundred".