150752400 has 60 divisors (see below), whose sum is σ = 482914032. Its totient is φ = 40200320.

The previous prime is 150752387. The next prime is 150752401. The reversal of 150752400 is 4257051.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×150752400² = 45452572211520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (150752401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61614 + ... + 64013.

Almost surely, 2^150752400 is an apocalyptic number.

150752400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150752400 is an abundant number, since it is smaller than the sum of its proper divisors (332161632).

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

150752400 is a wasteful number, since it uses less digits than its factorization.

150752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125648 (or 125637 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 150752400 is about 12278.1268929752. The cubic root of 150752400 is about 532.2161859050.

The spelling of 150752400 in words is "one hundred fifty million, seven hundred fifty-two thousand, four hundred".