151438800 has 60 divisors (see below), whose sum is σ = 485112800. Its totient is φ = 40383360.

The previous prime is 151438787. The next prime is 151438829. The reversal of 151438800 is 8834151.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61900 + ... + 64299.

Almost surely, 2^151438800 is an apocalyptic number.

151438800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151438800 is an abundant number, since it is smaller than the sum of its proper divisors (333674000).

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

151438800 is a wasteful number, since it uses less digits than its factorization.

151438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126220 (or 126209 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 151438800 is about 12306.0472939120. The cubic root of 151438800 is about 533.0227184376.

The spelling of 151438800 in words is "one hundred fifty-one million, four hundred thirty-eight thousand, eight hundred".