152775936 has 216 divisors, whose sum is σ = 487126080. Its totient is φ = 47139840.

The previous prime is 152775907. The next prime is 152775943. The reversal of 152775936 is 639577251.

152775936 is a `hidden beast` number, since 1 + 52 + 7 + 7 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 152775891 and 152775900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4928241 + ... + 4928271.

Almost surely, 2^152775936 is an apocalyptic number.

152775936 is a gapful number since it is divisible by the number (16) 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 152775936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243563040).

152775936 is an abundant number, since it is smaller than the sum of its proper divisors (334350144).

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

152775936 is an equidigital number, since it uses as much as digits as its factorization.

152775936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 152775936 is about 12360.2563080221. The cubic root of 152775936 is about 534.5869067851.

The spelling of 152775936 in words is "one hundred fifty-two million, seven hundred seventy-five thousand, nine hundred thirty-six".