151513646807040 has 1152 divisors, whose sum is σ = 574722375252480. Its totient is φ = 33971222347776.

The previous prime is 151513646807027. The next prime is 151513646807053. The reversal of 151513646807040 is 40708646315151.

It is an interprime number because it is at equal distance from previous prime (151513646807027) and next prime (151513646807053).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16589686314 + ... + 16589695446.

It is an arithmetic number, because the mean of its divisors is an integer number (498890950740).

Almost surely, 2^{151513646807040} is an apocalyptic number.

151513646807040 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 151513646807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287361187626240).

151513646807040 is an abundant number, since it is smaller than the sum of its proper divisors (423208728445440).

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

151513646807040 is a wasteful number, since it uses less digits than its factorization.

151513646807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 151513646807040 in words is "one hundred fifty-one trillion, five hundred thirteen billion, six hundred forty-six million, eight hundred seven thousand, forty".