152205360 has 80 divisors (see below), whose sum is σ = 476326656. Its totient is φ = 40201984.

The previous prime is 152205353. The next prime is 152205367. The reversal of 152205360 is 63502251.

It is an interprime number because it is at equal distance from previous prime (152205353) and next prime (152205367).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×152205360² = 46332943225459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152205360.

It is not an unprimeable number, because it can be changed into a prime (152205367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22717 + ... + 28643.

Almost surely, 2^152205360 is an apocalyptic number.

152205360 is a gapful number since it is divisible by the number (10) 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 152205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238163328).

152205360 is an abundant number, since it is smaller than the sum of its proper divisors (324121296).

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

152205360 is a wasteful number, since it uses less digits than its factorization.

152205360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152205360 is about 12337.1536425547. The cubic root of 152205360 is about 533.9205649913.

The spelling of 152205360 in words is "one hundred fifty-two million, two hundred five thousand, three hundred sixty".