115135152 has 160 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 32256000.

The previous prime is 115135109. The next prime is 115135159. The reversal of 115135152 is 251531511.

It is a super-2 number, since 2×115135152² = 26512206452126208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (115135159) 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, 906513 + ... + 906639.

Almost surely, 2^115135152 is an apocalyptic number.

115135152 is a gapful number since it is divisible by the number (12) 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 115135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

115135152 is an abundant number, since it is smaller than the sum of its proper divisors (234556752).

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

115135152 is a wasteful number, since it uses less digits than its factorization.

115135152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 750, while the sum is 24.

The square root of 115135152 is about 10730.1049389090. The cubic root of 115135152 is about 486.4848418990.

Adding to 115135152 its reverse (251531511), we get a palindrome (366666663).

It can be divided in two parts, 1151351 and 52, that added together give a triangular number (1151403 = T₁₅₁₇).

The spelling of 115135152 in words is "one hundred fifteen million, one hundred thirty-five thousand, one hundred fifty-two".