156740400 has 240 divisors, whose sum is σ = 583057920. Its totient is φ = 39916800.

The previous prime is 156740393. The next prime is 156740407. The reversal of 156740400 is 4047651.

156740400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156740393) and next prime (156740407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (156740407) 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, 248085 + ... + 248715.

It is an arithmetic number, because the mean of its divisors is an integer number (2429408).

Almost surely, 2^156740400 is an apocalyptic number.

156740400 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 156740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291528960).

156740400 is an abundant number, since it is smaller than the sum of its proper divisors (426317520).

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

156740400 is a wasteful number, since it uses less digits than its factorization.

156740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 156740400 is about 12519.6006326081. The cubic root of 156740400 is about 539.1715692347.

The spelling of 156740400 in words is "one hundred fifty-six million, seven hundred forty thousand, four hundred".