151005000640 has 112 divisors (see below), whose sum is σ = 387849819168. Its totient is φ = 55667994624.

The previous prime is 151005000637. The next prime is 151005000659. The reversal of 151005000640 is 46000500151.

It is a super-3 number, since 3×151005000640³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646654 + ... + 2703106.

It is an arithmetic number, because the mean of its divisors is an integer number (3462944814).

Almost surely, 2^151005000640 is an apocalyptic number.

151005000640 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 151005000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193924909584).

151005000640 is an abundant number, since it is smaller than the sum of its proper divisors (236844818528).

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

151005000640 is a wasteful number, since it uses less digits than its factorization.

151005000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57126 (or 57116 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 151005000640 its reverse (46000500151), we get a palindrome (197005500791).

The spelling of 151005000640 in words is "one hundred fifty-one billion, five million, six hundred forty", and thus it is an aban number.