152629152 has 48 divisors (see below), whose sum is σ = 431474400. Its totient is φ = 46962432.

The previous prime is 152629121. The next prime is 152629153. The reversal of 152629152 is 251926251.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (152629153) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59902 + ... + 62397.

It is an arithmetic number, because the mean of its divisors is an integer number (8989050).

Almost surely, 2^152629152 is an apocalyptic number.

152629152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152629152 is an abundant number, since it is smaller than the sum of its proper divisors (278845248).

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

152629152 is a wasteful number, since it uses less digits than its factorization.

152629152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122325 (or 122317 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 152629152 is about 12354.3171401741. The cubic root of 152629152 is about 534.4156451968.

The spelling of 152629152 in words is "one hundred fifty-two million, six hundred twenty-nine thousand, one hundred fifty-two".