152246952 has 320 divisors, whose sum is σ = 526901760. Its totient is φ = 40435200.

The previous prime is 152246947. The next prime is 152246957. The reversal of 152246952 is 259642251.

152246952 is a `hidden beast` number, since 1 + 522 + 46 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152246947) and next prime (152246957).

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 Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152246957) 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 79 ways as a sum of consecutive naturals, for example, 2872558 + ... + 2872610.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 2^152246952 is an apocalyptic number.

152246952 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 152246952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

152246952 is an abundant number, since it is smaller than the sum of its proper divisors (374654808).

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

152246952 is a wasteful number, since it uses less digits than its factorization.

152246952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 152246952 is about 12338.8391674420. The cubic root of 152246952 is about 533.9691940315.

The spelling of 152246952 in words is "one hundred fifty-two million, two hundred forty-six thousand, nine hundred fifty-two".