152071953 has 48 divisors (see below), whose sum is σ = 248592960. Its totient is φ = 82114560.

The previous prime is 152071901. The next prime is 152071967. The reversal of 152071953 is 359170251.

It is not a de Polignac number, because 152071953 - 2⁶ = 152071889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (152071973) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 116601 + ... + 117897.

It is an arithmetic number, because the mean of its divisors is an integer number (5179020).

Almost surely, 2^152071953 is an apocalyptic number.

It is an amenable number.

152071953 is a deficient number, since it is larger than the sum of its proper divisors (96521007).

152071953 is a wasteful number, since it uses less digits than its factorization.

152071953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 152071953 is about 12331.7457401619. The cubic root of 152071953 is about 533.7645267689.

The spelling of 152071953 in words is "one hundred fifty-two million, seventy-one thousand, nine hundred fifty-three".