15145240356 has 189 divisors, whose sum is σ = 41465811009. Its totient is φ = 4837970592.

The previous prime is 15145240349. The next prime is 15145240391. The reversal of 15145240356 is 65304254151.

The square root of 15145240356 is 123066.

It is a perfect power (a square), and thus also a powerful number.

15145240356 is a `hidden beast` number, since 1 + 514 + 52 + 40 + 3 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10918160100 + 4227080256 = 104490^2 + 65016^2 .

It is a super-2 number, since 2×15145240356² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 15145240356.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 285759226 + ... + 285759278.

Almost surely, 2^15145240356 is an apocalyptic number.

15145240356 is the 123066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15145240356

15145240356 is an abundant number, since it is smaller than the sum of its proper divisors (26320570653).

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

15145240356 is an frugal number, since it uses more digits than its factorization.

15145240356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 15145240356 by its sum of digits (36), we get a square (545228652816 = 738396²).

15145240356 divided by its sum of digits (36) gives a square (420701121 = 20511²).

The spelling of 15145240356 in words is "fifteen billion, one hundred forty-five million, two hundred forty thousand, three hundred fifty-six".