151725564 has 72 divisors (see below), whose sum is σ = 417690000. Its totient is φ = 46255104.

The previous prime is 151725559. The next prime is 151725569. The reversal of 151725564 is 465527151.

151725564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151725559) and next prime (151725569).

It is a super-2 number, since 2×151725564² = 46041293542236192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151725569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16012 + ... + 23660.

It is an arithmetic number, because the mean of its divisors is an integer number (5801250).

Almost surely, 2^151725564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151725564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208845000).

151725564 is an abundant number, since it is smaller than the sum of its proper divisors (265964436).

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

151725564 is a wasteful number, since it uses less digits than its factorization.

151725564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7707 (or 7702 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 151725564 is about 12317.6931281795. The cubic root of 151725564 is about 533.3589496377.

It can be divided in two parts, 15172 and 5564, that added together give a 4-th power (20736 = 12⁴).

The spelling of 151725564 in words is "one hundred fifty-one million, seven hundred twenty-five thousand, five hundred sixty-four".