156256400 has 60 divisors (see below), whose sum is σ = 378837732. Its totient is φ = 61931520.

The previous prime is 156256363. The next prime is 156256409. The reversal of 156256400 is 4652651.

It can be written as a sum of positive squares in 6 ways, for example, as 80496784 + 75759616 = 8972^2 + 8704^2 .

It is a sliding number, since 156256400 = 6400 + 156250000 and 1/6400 + 1/156250000 = 0.000156256400.

It is not an unprimeable number, because it can be changed into a prime (156256409) 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, 43472 + ... + 46928.

Almost surely, 2^156256400 is an apocalyptic number.

156256400 is a gapful number since it is divisible by the number (10) 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 156256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189418866).

156256400 is an abundant number, since it is smaller than the sum of its proper divisors (222581332).

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

156256400 is a wasteful number, since it uses less digits than its factorization.

156256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 156256400 is about 12500.2559973786. The cubic root of 156256400 is about 538.6160262113.

It can be divided in two parts, 15625 and 6400, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 156256400 in words is "one hundred fifty-six million, two hundred fifty-six thousand, four hundred".