152766120 has 64 divisors (see below), whose sum is σ = 493557120. Its totient is φ = 37603584.

The previous prime is 152766101. The next prime is 152766139. The reversal of 152766120 is 21667251.

It is an interprime number because it is at equal distance from previous prime (152766101) and next prime (152766139).

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

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 15 ways as a sum of consecutive naturals, for example, 47404 + ... + 50523.

It is an arithmetic number, because the mean of its divisors is an integer number (7711830).

Almost surely, 2^152766120 is an apocalyptic number.

152766120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152766120 is an abundant number, since it is smaller than the sum of its proper divisors (340791000).

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

152766120 is a wasteful number, since it uses less digits than its factorization.

152766120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97954 (or 97950 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 152766120 is about 12359.8592224993. The cubic root of 152766120 is about 534.5754572998.

The spelling of 152766120 in words is "one hundred fifty-two million, seven hundred sixty-six thousand, one hundred twenty".