151635252564 has 144 divisors (see below), whose sum is σ = 403097385600. Its totient is φ = 47970185472.

The previous prime is 151635252539. The next prime is 151635252569. The reversal of 151635252564 is 465252536151.

151635252564 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 35 + 2 + 52 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151635252569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90853122 + ... + 90854790.

It is an arithmetic number, because the mean of its divisors is an integer number (2799287400).

Almost surely, 2^151635252564 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 151635252564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201548692800).

151635252564 is an abundant number, since it is smaller than the sum of its proper divisors (251462133036).

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

151635252564 is a wasteful number, since it uses less digits than its factorization.

151635252564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 151635252564 in words is "one hundred fifty-one billion, six hundred thirty-five million, two hundred fifty-two thousand, five hundred sixty-four".