15200344335132 has 192 divisors, whose sum is σ = 43680018009600. Its totient is φ = 4532818752000.

The previous prime is 15200344335131. The next prime is 15200344335203. The reversal of 15200344335132 is 23153344300251.

15200344335132 is a `hidden beast` number, since 1 + 5 + 200 + 3 + 4 + 433 + 5 + 13 + 2 = 666.

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 (15200344335131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21968782 + ... + 22650122.

It is an arithmetic number, because the mean of its divisors is an integer number (227500093800).

Almost surely, 2^{15200344335132} is an apocalyptic number.

15200344335132 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 15200344335132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840009004800).

15200344335132 is an abundant number, since it is smaller than the sum of its proper divisors (28479673674468).

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

15200344335132 is a wasteful number, since it uses less digits than its factorization.

15200344335132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681665 (or 681657 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 15200344335132 its reverse (23153344300251), we get a palindrome (38353688635383).

The spelling of 15200344335132 in words is "fifteen trillion, two hundred billion, three hundred forty-four million, three hundred thirty-five thousand, one hundred thirty-two".