152751200 has 72 divisors (see below), whose sum is σ = 426191472. Its totient is φ = 52369920.

The previous prime is 152751197. The next prime is 152751217. The reversal of 152751200 is 2157251.

It is a happy number.

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, 8039 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (5919326).

Almost surely, 2^152751200 is an apocalyptic number.

152751200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152751200 is an abundant number, since it is smaller than the sum of its proper divisors (273440272).

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

152751200 is a wasteful number, since it uses less digits than its factorization.

152751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27304 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 152751200 is about 12359.2556410166. The cubic root of 152751200 is about 534.5580535162.

The spelling of 152751200 in words is "one hundred fifty-two million, seven hundred fifty-one thousand, two hundred".