153008647974 has 288 divisors, whose sum is σ = 428386760256. Its totient is φ = 39907676160.

The previous prime is 153008647969. The next prime is 153008647997. The reversal of 153008647974 is 479746800351.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 153008647974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115827234 + ... + 115828554.

Almost surely, 2^153008647974 is an apocalyptic number.

153008647974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153008647974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214193380128).

153008647974 is an abundant number, since it is smaller than the sum of its proper divisors (275378112282).

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

153008647974 is an equidigital number, since it uses as much as digits as its factorization.

153008647974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 153008647974 in words is "one hundred fifty-three billion, eight million, six hundred forty-seven thousand, nine hundred seventy-four".