153944496 has 80 divisors (see below), whose sum is σ = 443409120. Its totient is φ = 51137280.

The previous prime is 153944491. The next prime is 153944501. The reversal of 153944496 is 694449351.

153944496 is a `hidden beast` number, since 153 + 9 + 4 + 4 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (153944491) and next prime (153944501).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (153944491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198766 + ... + 199538.

It is an arithmetic number, because the mean of its divisors is an integer number (5542614).

Almost surely, 2^153944496 is an apocalyptic number.

153944496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153944496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221704560).

153944496 is an abundant number, since it is smaller than the sum of its proper divisors (289464624).

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

153944496 is a wasteful number, since it uses less digits than its factorization.

153944496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 153944496 is about 12407.4371245636. The cubic root of 153944496 is about 535.9464378051.

The spelling of 153944496 in words is "one hundred fifty-three million, nine hundred forty-four thousand, four hundred ninety-six".