152897952 has 96 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 48648960.

The previous prime is 152897939. The next prime is 152897999. The reversal of 152897952 is 259798251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246699 + ... + 247317.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^152897952 is an apocalyptic number.

152897952 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 152897952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

152897952 is an abundant number, since it is smaller than the sum of its proper divisors (267075168).

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

152897952 is a wasteful number, since it uses less digits than its factorization.

152897952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 152897952 is about 12365.1911428817. The cubic root of 152897952 is about 534.7291866065.

The spelling of 152897952 in words is "one hundred fifty-two million, eight hundred ninety-seven thousand, nine hundred fifty-two".