15129534420 has 288 divisors, whose sum is σ = 61619201280. Its totient is φ = 2901934080.

The previous prime is 15129534419. The next prime is 15129534443. The reversal of 15129534420 is 2443592151.

15129534420 is a `hidden beast` number, since 1 + 5 + 1 + 295 + 344 + 20 = 666.

It is a super-3 number, since 3×15129534420³ (a number of 32 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138196 + ... + 222164.

It is an arithmetic number, because the mean of its divisors is an integer number (213955560).

Almost surely, 2^15129534420 is an apocalyptic number.

15129534420 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 15129534420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30809600640).

15129534420 is an abundant number, since it is smaller than the sum of its proper divisors (46489666860).

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

15129534420 is a wasteful number, since it uses less digits than its factorization.

15129534420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84015 (or 84010 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 15129534420 in words is "fifteen billion, one hundred twenty-nine million, five hundred thirty-four thousand, four hundred twenty".