119115152640 has 1440 divisors, whose sum is σ = 512851046400. Its totient is φ = 26057687040.

The previous prime is 119115152581. The next prime is 119115152641. The reversal of 119115152640 is 46251511911.

It is a happy number.

119115152640 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 1 + 5 + 1 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 119115152595 and 119115152604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119115152641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 498389641 + ... + 498389879.

It is an arithmetic number, because the mean of its divisors is an integer number (356146560).

Almost surely, 2^119115152640 is an apocalyptic number.

119115152640 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 119115152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256425523200).

119115152640 is an abundant number, since it is smaller than the sum of its proper divisors (393735893760).

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

119115152640 is a wasteful number, since it uses less digits than its factorization.

119115152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 119115152640 in words is "one hundred nineteen billion, one hundred fifteen million, one hundred fifty-two thousand, six hundred forty".