153661642704 has 160 divisors (see below), whose sum is σ = 466400148480. Its totient is φ = 48359116800.

The previous prime is 153661642637. The next prime is 153661642753. The reversal of 153661642704 is 407246166351.

153661642704 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 616 + 4 + 27 + 0 + 4 = 666.

It is a super-3 number, since 3×153661642704³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 153661642704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409144 + ... + 689000.

It is an arithmetic number, because the mean of its divisors is an integer number (2915000928).

Almost surely, 2^153661642704 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 153661642704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233200074240).

153661642704 is an abundant number, since it is smaller than the sum of its proper divisors (312738505776).

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

153661642704 is a wasteful number, since it uses less digits than its factorization.

153661642704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279946 (or 279934 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 153661642704 in words is "one hundred fifty-three billion, six hundred sixty-one million, six hundred forty-two thousand, seven hundred four".