115765151040 has 1344 divisors, whose sum is σ = 525851688960. Its totient is φ = 22672097280.

The previous prime is 115765151017. The next prime is 115765151057. The reversal of 115765151040 is 40151567511.

115765151040 is a `hidden beast` number, since 1 + 1 + 57 + 6 + 51 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115765150986 and 115765151004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302258689 + ... + 302259071.

Almost surely, 2^115765151040 is an apocalyptic number.

115765151040 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 115765151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262925844480).

115765151040 is an abundant number, since it is smaller than the sum of its proper divisors (410086537920).

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

115765151040 is a wasteful number, since it uses less digits than its factorization.

115765151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 115765151040 in words is "one hundred fifteen billion, seven hundred sixty-five million, one hundred fifty-one thousand, forty".