156842400 has 288 divisors, whose sum is σ = 601086528. Its totient is φ = 35020800.

The previous prime is 156842381. The next prime is 156842401. The reversal of 156842400 is 4248651.

156842400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (156842401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342972 + ... + 343428.

It is an arithmetic number, because the mean of its divisors is an integer number (2087106).

Almost surely, 2^156842400 is an apocalyptic number.

156842400 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 156842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300543264).

156842400 is an abundant number, since it is smaller than the sum of its proper divisors (444244128).

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

156842400 is a wasteful number, since it uses less digits than its factorization.

156842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 156842400 is about 12523.6735824597. The cubic root of 156842400 is about 539.2885005317.

The spelling of 156842400 in words is "one hundred fifty-six million, eight hundred forty-two thousand, four hundred".