15145140412512 has 144 divisors (see below), whose sum is σ = 46995476346000. Its totient is φ = 4588350259200.

The previous prime is 15145140412511. The next prime is 15145140412537. The reversal of 15145140412512 is 21521404154151.

15145140412512 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 514 + 0 + 4 + 125 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×15145140412512² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145140412511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12871864 + ... + 13999112.

It is an arithmetic number, because the mean of its divisors is an integer number (326357474625).

Almost surely, 2^{15145140412512} is an apocalyptic number.

15145140412512 is a gapful number since it is divisible by the number (12) 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 15145140412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497738173000).

15145140412512 is an abundant number, since it is smaller than the sum of its proper divisors (31850335933488).

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

15145140412512 is a wasteful number, since it uses less digits than its factorization.

15145140412512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131517 (or 1131506 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 15145140412512 its reverse (21521404154151), we get a palindrome (36666544566663).

The spelling of 15145140412512 in words is "fifteen trillion, one hundred forty-five billion, one hundred forty million, four hundred twelve thousand, five hundred twelve".