115101145152 has 616 divisors, whose sum is σ = 413954772800. Its totient is φ = 31019148288.

The previous prime is 115101145139. The next prime is 115101145249. The reversal of 115101145152 is 251541101511.

115101145152 is a `hidden beast` number, since 1 + 1 + 510 + 1 + 145 + 1 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 502624974 + ... + 502625202.

Almost surely, 2^115101145152 is an apocalyptic number.

115101145152 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 115101145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206977386400).

115101145152 is an abundant number, since it is smaller than the sum of its proper divisors (298853627648).

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

115101145152 is an frugal number, since it uses more digits than its factorization.

115101145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 115101145152 its reverse (251541101511), we get a palindrome (366642246663).

The spelling of 115101145152 in words is "one hundred fifteen billion, one hundred one million, one hundred forty-five thousand, one hundred fifty-two".