115135020000 has 2400 divisors, whose sum is σ = 576114384384. Its totient is φ = 21772800000.

The previous prime is 115135019999. The next prime is 115135020001. The reversal of 115135020000 is 20531511.

115135020000 is a `hidden beast` number, since 115 + 1 + 350 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115135019999) and next prime (115135020001).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115135020001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1621619965 + ... + 1621620035.

Almost surely, 2^115135020000 is an apocalyptic number.

115135020000 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 115135020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288057192192).

115135020000 is an abundant number, since it is smaller than the sum of its proper divisors (460979364384).

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

115135020000 is a wasteful number, since it uses less digits than its factorization.

115135020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 115135020000 its reverse (20531511), we get a palindrome (115155551511).

The spelling of 115135020000 in words is "one hundred fifteen billion, one hundred thirty-five million, twenty thousand".