151115765181840 has 2560 divisors, whose sum is σ = 604231041024000. Its totient is φ = 34939170478080.

The previous prime is 151115765181781. The next prime is 151115765181853. The reversal of 151115765181840 is 48181567511151.

It is a happy number.

151115765181840 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 1 + 5 + 76 + 518 + 18 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 244128861051 + ... + 244128861669.

It is an arithmetic number, because the mean of its divisors is an integer number (236027750400).

Almost surely, 2^{151115765181840} is an apocalyptic number.

151115765181840 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 151115765181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302115520512000).

151115765181840 is an abundant number, since it is smaller than the sum of its proper divisors (453115275842160).

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

151115765181840 is a wasteful number, since it uses less digits than its factorization.

151115765181840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 54.

The spelling of 151115765181840 in words is "one hundred fifty-one trillion, one hundred fifteen billion, seven hundred sixty-five million, one hundred eighty-one thousand, eight hundred forty".