151264571040 has 480 divisors, whose sum is σ = 607702144896. Its totient is φ = 35075082240.

The previous prime is 151264571033. The next prime is 151264571053. The reversal of 151264571040 is 40175462151.

151264571040 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 645 + 7 + 1 + 0 + 4 + 0 = 666.

151264571040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 151264570986 and 151264571004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3255814 + ... + 3301946.

Almost surely, 2^151264571040 is an apocalyptic number.

151264571040 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 151264571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303851072448).

151264571040 is an abundant number, since it is smaller than the sum of its proper divisors (456437573856).

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

151264571040 is a wasteful number, since it uses less digits than its factorization.

151264571040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46194 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 151264571040 in words is "one hundred fifty-one billion, two hundred sixty-four million, five hundred seventy-one thousand, forty".