156354761482920 has 3072 divisors, whose sum is σ = 773357036175360. Its totient is φ = 27314587238400.

The previous prime is 156354761482891. The next prime is 156354761482939. The reversal of 156354761482920 is 29284167453651.

It is a happy number.

156354761482920 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 5 + 4 + 7 + 61 + 482 + 92 + 0 = 666.

156354761482920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×156354761482920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5127547194 + ... + 5127577686.

It is an arithmetic number, because the mean of its divisors is an integer number (251743826880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅156354761482920 = 312709522965840, but 3⋅156354761482920 = 469064284448760 is not.

Almost surely, 2^{156354761482920} is an apocalyptic number.

156354761482920 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 156354761482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386678518087680).

156354761482920 is an abundant number, since it is smaller than the sum of its proper divisors (617002274692440).

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

156354761482920 is a wasteful number, since it uses less digits than its factorization.

156354761482920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30598 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 156354761482920 in words is "one hundred fifty-six trillion, three hundred fifty-four billion, seven hundred sixty-one million, four hundred eighty-two thousand, nine hundred twenty".