152117952 has 336 divisors, whose sum is σ = 528157440. Its totient is φ = 38320128.

The previous prime is 152117951. The next prime is 152117969. The reversal of 152117952 is 259711251.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152117951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4111278 + ... + 4111314.

Almost surely, 2^152117952 is an apocalyptic number.

152117952 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 152117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264078720).

152117952 is an abundant number, since it is smaller than the sum of its proper divisors (376039488).

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

152117952 is a wasteful number, since it uses less digits than its factorization.

152117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its digits is 6300, while the sum is 33.

The square root of 152117952 is about 12333.6106635486. The cubic root of 152117952 is about 533.8183393640.

The spelling of 152117952 in words is "one hundred fifty-two million, one hundred seventeen thousand, nine hundred fifty-two".