15101132640 has 384 divisors, whose sum is σ = 56442935808. Its totient is φ = 3351674880.

The previous prime is 15101132621. The next prime is 15101132653. The reversal of 15101132640 is 4623110151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15101132640.

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, 3318847 + ... + 3323393.

It is an arithmetic number, because the mean of its divisors is an integer number (146986812).

Almost surely, 2^15101132640 is an apocalyptic number.

15101132640 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 15101132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28221467904).

15101132640 is an abundant number, since it is smaller than the sum of its proper divisors (41341803168).

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

15101132640 is a wasteful number, since it uses less digits than its factorization.

15101132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 15101132640 its reverse (4623110151), we get a palindrome (19724242791).

It can be divided in two parts, 15101 and 132640, that added together give a palindrome (147741).

The spelling of 15101132640 in words is "fifteen billion, one hundred one million, one hundred thirty-two thousand, six hundred forty".