153225157464 has 256 divisors, whose sum is σ = 460619827200. Its totient is φ = 47066697216.

The previous prime is 153225157409. The next prime is 153225157489. The reversal of 153225157464 is 464751522351.

153225157464 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 2 + 515 + 74 + 64 = 666.

It is a super-2 number, since 2×153225157464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18929002 + ... + 18937094.

It is an arithmetic number, because the mean of its divisors is an integer number (1799296200).

Almost surely, 2^153225157464 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 153225157464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230309913600).

153225157464 is an abundant number, since it is smaller than the sum of its proper divisors (307394669736).

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

153225157464 is a wasteful number, since it uses less digits than its factorization.

153225157464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8261 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 153225157464 in words is "one hundred fifty-three billion, two hundred twenty-five million, one hundred fifty-seven thousand, four hundred sixty-four".