151286040576 has 360 divisors, whose sum is σ = 496760494230. Its totient is φ = 45838172160.

The previous prime is 151286040557. The next prime is 151286040613. The reversal of 151286040576 is 675040682151.

151286040576 is a `hidden beast` number, since 1 + 5 + 12 + 8 + 60 + 4 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132729062400 + 18556978176 = 364320^2 + 136224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20068680 + ... + 20076216.

Almost surely, 2^151286040576 is an apocalyptic number.

151286040576 is a gapful number since it is divisible by the number (16) 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 151286040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248380247115).

151286040576 is an abundant number, since it is smaller than the sum of its proper divisors (345474453654).

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

151286040576 is an equidigital number, since it uses as much as digits as its factorization.

151286040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 151286040576 in words is "one hundred fifty-one billion, two hundred eighty-six million, forty thousand, five hundred seventy-six".