15133531440 has 160 divisors (see below), whose sum is σ = 47480193216. Its totient is φ = 3987210240.

The previous prime is 15133531417. The next prime is 15133531463. The reversal of 15133531440 is 4413533151.

It is an interprime number because it is at equal distance from previous prime (15133531417) and next prime (15133531463).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15133531398 and 15133531407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7271200 + ... + 7273280.

Almost surely, 2^15133531440 is an apocalyptic number.

15133531440 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 15133531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740096608).

15133531440 is an abundant number, since it is smaller than the sum of its proper divisors (32346661776).

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

15133531440 is a wasteful number, since it uses less digits than its factorization.

15133531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 15133531440 in words is "fifteen billion, one hundred thirty-three million, five hundred thirty-one thousand, four hundred forty".