135737856 has 120 divisors (see below), whose sum is σ = 406630224. Its totient is φ = 45204480.

The previous prime is 135737831. The next prime is 135737857. The reversal of 135737856 is 658737531.

135737856 is a `hidden beast` number, since 1 + 3 + 573 + 78 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (135737857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123871 + ... + 124961.

Almost surely, 2^135737856 is an apocalyptic number.

135737856 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 135737856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203315112).

135737856 is an abundant number, since it is smaller than the sum of its proper divisors (270892368).

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

135737856 is an frugal number, since it uses more digits than its factorization.

135737856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1096 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 135737856 is about 11650.6590371532. The cubic root of 135737856 is about 513.9256908832.

The spelling of 135737856 in words is "one hundred thirty-five million, seven hundred thirty-seven thousand, eight hundred fifty-six".