150514400 has 36 divisors (see below), whose sum is σ = 367445232. Its totient is φ = 60205440.

The previous prime is 150514387. The next prime is 150514411. The reversal of 150514400 is 4415051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93272 + ... + 94871.

It is an arithmetic number, because the mean of its divisors is an integer number (10206812).

Almost surely, 2^150514400 is an apocalyptic number.

150514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150514400 is an abundant number, since it is smaller than the sum of its proper divisors (216930832).

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

150514400 is a wasteful number, since it uses less digits than its factorization.

150514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188163 (or 188150 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 150514400 is about 12268.4310325322. The cubic root of 150514400 is about 531.9359600303.

Adding to 150514400 its reverse (4415051), we get a palindrome (154929451).

The spelling of 150514400 in words is "one hundred fifty million, five hundred fourteen thousand, four hundred".