151000564 has 48 divisors (see below), whose sum is σ = 321189120. Its totient is φ = 61165440.

The previous prime is 151000547. The next prime is 151000567. The reversal of 151000564 is 465000151.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151000567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12037 + ... + 21139.

It is an arithmetic number, because the mean of its divisors is an integer number (6691440).

Almost surely, 2^151000564 is an apocalyptic number.

It is an amenable number.

151000564 is an abundant number, since it is smaller than the sum of its proper divisors (170188556).

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

151000564 is a wasteful number, since it uses less digits than its factorization.

151000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9158 counting only the distinct ones).

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

The square root of 151000564 is about 12288.2286762576. The cubic root of 151000564 is about 532.5080651500.

The spelling of 151000564 in words is "one hundred fifty-one million, five hundred sixty-four", and thus it is an aban number.