5129136000 has 512 divisors, whose sum is σ = 19552665600. Its totient is φ = 1320192000.

The previous prime is 5129135941. The next prime is 5129136037. The reversal of 5129136000 is 6319215.

5129136000 is a `hidden beast` number, since 51 + 2 + 9 + 1 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×5129136000² = 52616072212992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13391809 + ... + 13392191.

It is an arithmetic number, because the mean of its divisors is an integer number (38188800).

Almost surely, 2^5129136000 is an apocalyptic number.

5129136000 is a gapful number since it is divisible by the number (50) 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 5129136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9776332800).

5129136000 is an abundant number, since it is smaller than the sum of its proper divisors (14423529600).

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

5129136000 is a wasteful number, since it uses less digits than its factorization.

5129136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5129136000 is about 71617.9865676214. The cubic root of 5129136000 is about 1724.5722947175.

The spelling of 5129136000 in words is "five billion, one hundred twenty-nine million, one hundred thirty-six thousand".