5157133920 has 240 divisors, whose sum is σ = 18262268640. Its totient is φ = 1370566656.

The previous prime is 5157133901. The next prime is 5157133967. The reversal of 5157133920 is 293317515.

5157133920 is a `hidden beast` number, since 51 + 571 + 3 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5611221 + ... + 5612139.

It is an arithmetic number, because the mean of its divisors is an integer number (76092786).

Almost surely, 2^5157133920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5157133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131134320).

5157133920 is an abundant number, since it is smaller than the sum of its proper divisors (13105134720).

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

5157133920 is a wasteful number, since it uses less digits than its factorization.

5157133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5157133920 is about 71813.1876468382. The cubic root of 5157133920 is about 1727.7045212369.

It can be divided in two parts, 51571 and 33920, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 5157133920 in words is "five billion, one hundred fifty-seven million, one hundred thirty-three thousand, nine hundred twenty".