15141187152 has 240 divisors, whose sum is σ = 53836776448. Its totient is φ = 3864360960.

The previous prime is 15141187093. The next prime is 15141187157. The reversal of 15141187152 is 25178114151.

It is a happy number.

15141187152 is a `hidden beast` number, since 1 + 514 + 11 + 87 + 1 + 52 = 666.

It is a super-2 number, since 2×15141187152² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (15141187157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387588 + ... + 424860.

Almost surely, 2^15141187152 is an apocalyptic number.

15141187152 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 15141187152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918388224).

15141187152 is an abundant number, since it is smaller than the sum of its proper divisors (38695589296).

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

15141187152 is a wasteful number, since it uses less digits than its factorization.

15141187152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338 (or 37329 counting only the distinct ones).

The product of its digits is 11200, while the sum is 36.

The spelling of 15141187152 in words is "fifteen billion, one hundred forty-one million, one hundred eighty-seven thousand, one hundred fifty-two".