156742080000 has 400 divisors, whose sum is σ = 569270725056. Its totient is φ = 37995520000.

The previous prime is 156742079969. The next prime is 156742080007. The reversal of 156742080000 is 80247651.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156742080007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10552579 + ... + 10567421.

Almost surely, 2^156742080000 is an apocalyptic number.

156742080000 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 156742080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284635362528).

156742080000 is an abundant number, since it is smaller than the sum of its proper divisors (412528645056).

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

156742080000 is an equidigital number, since it uses as much as digits as its factorization.

156742080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14864 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 156742080000 in words is "one hundred fifty-six billion, seven hundred forty-two million, eighty thousand".