152941152 has 288 divisors, whose sum is σ = 523653984. Its totient is φ = 38707200.

The previous prime is 152941141. The next prime is 152941177. The reversal of 152941152 is 251149251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507202 + ... + 2507262.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^152941152 is an apocalyptic number.

152941152 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 152941152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261826992).

152941152 is an abundant number, since it is smaller than the sum of its proper divisors (370712832).

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

152941152 is a wasteful number, since it uses less digits than its factorization.

152941152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 152941152 is about 12366.9378586617. The cubic root of 152941152 is about 534.7795429069.

The spelling of 152941152 in words is "one hundred fifty-two million, nine hundred forty-one thousand, one hundred fifty-two".