152695368 has 192 divisors, whose sum is σ = 502320000. Its totient is φ = 43436736.

The previous prime is 152695351. The next prime is 152695373. The reversal of 152695368 is 863596251.

152695368 is a `hidden beast` number, since 1 + 52 + 69 + 536 + 8 = 666.

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, 666678 + ... + 666906.

It is an arithmetic number, because the mean of its divisors is an integer number (2616250).

Almost surely, 2^152695368 is an apocalyptic number.

152695368 is a gapful number since it is divisible by the number (18) 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 152695368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251160000).

152695368 is an abundant number, since it is smaller than the sum of its proper divisors (349624632).

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

152695368 is an equidigital number, since it uses as much as digits as its factorization.

152695368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 152695368 is about 12356.9967225050. The cubic root of 152695368 is about 534.4929169144.

The spelling of 152695368 in words is "one hundred fifty-two million, six hundred ninety-five thousand, three hundred sixty-eight".