151052400 has 90 divisors (see below), whose sum is σ = 524206280. Its totient is φ = 40279680.

The previous prime is 151052359. The next prime is 151052417. The reversal of 151052400 is 4250151.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 17380 + ... + 24579.

Almost surely, 2^151052400 is an apocalyptic number.

151052400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151052400 is an abundant number, since it is smaller than the sum of its proper divisors (373153880).

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

151052400 is a wasteful number, since it uses less digits than its factorization.

151052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41983 (or 41969 counting only the distinct ones).

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

The square root of 151052400 is about 12290.3376682661. The cubic root of 151052400 is about 532.5689919205.

The spelling of 151052400 in words is "one hundred fifty-one million, fifty-two thousand, four hundred".