1157531520 has 128 divisors (see below), whose sum is σ = 3817044000. Its totient is φ = 298016768.

The previous prime is 1157531519. The next prime is 1157531533. The reversal of 1157531520 is 251357511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45286 + ... + 66074.

Almost surely, 2^1157531520 is an apocalyptic number.

1157531520 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 1157531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908522000).

1157531520 is an abundant number, since it is smaller than the sum of its proper divisors (2659512480).

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

1157531520 is a wasteful number, since it uses less digits than its factorization.

1157531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20840 (or 20828 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 1157531520 is about 34022.5148982259. The cubic root of 1157531520 is about 1049.9717362007.

The spelling of 1157531520 in words is "one billion, one hundred fifty-seven million, five hundred thirty-one thousand, five hundred twenty".