15135906240 has 1568 divisors, whose sum is σ = 71639801856. Its totient is φ = 2956124160.

The previous prime is 15135906221. The next prime is 15135906241. The reversal of 15135906240 is 4260953151.

15135906240 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 590 + 62 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15135906195 and 15135906204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15135906241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 488255025 + ... + 488255055.

Almost surely, 2^15135906240 is an apocalyptic number.

15135906240 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 15135906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35819900928).

15135906240 is an abundant number, since it is smaller than the sum of its proper divisors (56503895616).

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

15135906240 is a wasteful number, since it uses less digits than its factorization.

15135906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 15135906240 in words is "fifteen billion, one hundred thirty-five million, nine hundred six thousand, two hundred forty".