156261456 has 90 divisors (see below), whose sum is σ = 473616078. Its totient is φ = 48072960.

The previous prime is 156261431. The next prime is 156261461. The reversal of 156261456 is 654162651.

156261456 is a `hidden beast` number, since 15 + 626 + 14 + 5 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2005056 + 154256400 = 1416^2 + 12420^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 156261456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21126 + ... + 27546.

Almost surely, 2^156261456 is an apocalyptic number.

156261456 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 156261456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236808039).

156261456 is an abundant number, since it is smaller than the sum of its proper divisors (317354622).

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

156261456 is a wasteful number, since it uses less digits than its factorization.

156261456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6439 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 156261456 is about 12500.4582316010. The cubic root of 156261456 is about 538.6218354950.

The spelling of 156261456 in words is "one hundred fifty-six million, two hundred sixty-one thousand, four hundred fifty-six".