152764029 has 16 divisors (see below), whose sum is σ = 246891840. Its totient is φ = 92584080.

The previous prime is 152764019. The next prime is 152764043. The reversal of 152764029 is 920467251.

152764029 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 640 + 2 + 9 = 666.

It is not a de Polignac number, because 152764029 - 2⁵ = 152763997 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 152763984 and 152764002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152764019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256882 + ... + 257475.

It is an arithmetic number, because the mean of its divisors is an integer number (15430740).

Almost surely, 2^152764029 is an apocalyptic number.

It is an amenable number.

152764029 is a deficient number, since it is larger than the sum of its proper divisors (94127811).

152764029 is a wasteful number, since it uses less digits than its factorization.

152764029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514377 (or 514371 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152764029 is about 12359.7746338677. The cubic root of 152764029 is about 534.5730182722.

It can be divided in two parts, 1527 and 64029, that added together give a palindrome (65556).

The spelling of 152764029 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, twenty-nine".