3125157120 has 288 divisors, whose sum is σ = 11451632640. Its totient is φ = 806215680.

The previous prime is 3125157067. The next prime is 3125157127. The reversal of 3125157120 is 217515213.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125157127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069902 + ... + 1072818.

Almost surely, 2^3125157120 is an apocalyptic number.

3125157120 is a gapful number since it is divisible by the number (30) 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 3125157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725816320).

3125157120 is an abundant number, since it is smaller than the sum of its proper divisors (8326475520).

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

3125157120 is a wasteful number, since it uses less digits than its factorization.

3125157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 3125157120 is about 55903.1047438333. The cubic root of 3125157120 is about 1462.0333711847.

The spelling of 3125157120 in words is "three billion, one hundred twenty-five million, one hundred fifty-seven thousand, one hundred twenty".