15141570136920 has 256 divisors, whose sum is σ = 50930596224000. Its totient is φ = 4001187456000.

The previous prime is 15141570136907. The next prime is 15141570137009. The reversal of 15141570136920 is 2963107514151.

15141570136920 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 1 + 570 + 13 + 69 + 2 + 0 = 666.

It is a super-2 number, since 2×15141570136920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66586215 + ... + 66813225.

It is an arithmetic number, because the mean of its divisors is an integer number (198947641500).

Almost surely, 2^{15141570136920} is an apocalyptic number.

15141570136920 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 15141570136920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25465298112000).

15141570136920 is an abundant number, since it is smaller than the sum of its proper divisors (35789026087080).

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

15141570136920 is a wasteful number, since it uses less digits than its factorization.

15141570136920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227591 (or 227581 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 15141570136920 in words is "fifteen trillion, one hundred forty-one billion, five hundred seventy million, one hundred thirty-six thousand, nine hundred twenty".