15134883840 has 228 divisors, whose sum is σ = 52508391624. Its totient is φ = 4032823296.

The previous prime is 15134883817. The next prime is 15134883851. The reversal of 15134883840 is 4838843151.

15134883840 is a `hidden beast` number, since 151 + 348 + 83 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11795839 + ... + 11797121.

Almost surely, 2^15134883840 is an apocalyptic number.

15134883840 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 15134883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254195812).

15134883840 is an abundant number, since it is smaller than the sum of its proper divisors (37373507784).

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

15134883840 is an frugal number, since it uses more digits than its factorization.

15134883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 15134883840 in words is "fifteen billion, one hundred thirty-four million, eight hundred eighty-three thousand, eight hundred forty".