152324172 has 192 divisors, whose sum is σ = 530611200. Its totient is φ = 36495360.

The previous prime is 152324171. The next prime is 152324177. The reversal of 152324172 is 271423251.

152324172 is a `hidden beast` number, since 15 + 232 + 417 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152324171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107404 + ... + 108812.

It is an arithmetic number, because the mean of its divisors is an integer number (2763600).

Almost surely, 2^152324172 is an apocalyptic number.

152324172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152324172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265305600).

152324172 is an abundant number, since it is smaller than the sum of its proper divisors (378287028).

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

152324172 is a wasteful number, since it uses less digits than its factorization.

152324172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 152324172 is about 12341.9679143968. The cubic root of 152324172 is about 534.0594555691.

The spelling of 152324172 in words is "one hundred fifty-two million, three hundred twenty-four thousand, one hundred seventy-two".