156135168 has 216 divisors, whose sum is σ = 538266960. Its totient is φ = 44513280.

The previous prime is 156135167. The next prime is 156135209. The reversal of 156135168 is 861531651.

156135168 is a `hidden beast` number, since 1 + 561 + 35 + 1 + 68 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156135167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338458 + ... + 338918.

Almost surely, 2^156135168 is an apocalyptic number.

156135168 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 156135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269133480).

156135168 is an abundant number, since it is smaller than the sum of its proper divisors (382131792).

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

156135168 is an equidigital number, since it uses as much as digits as its factorization.

156135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 473 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 156135168 is about 12495.4058757609. The cubic root of 156135168 is about 538.4766945478.

The spelling of 156135168 in words is "one hundred fifty-six million, one hundred thirty-five thousand, one hundred sixty-eight".