153376896 has 64 divisors (see below), whose sum is σ = 410652000. Its totient is φ = 50718720.

The previous prime is 153376849. The next prime is 153376897. The reversal of 153376896 is 698673351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (153376897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48780 + ... + 51828.

Almost surely, 2^153376896 is an apocalyptic number.

153376896 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 153376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205326000).

153376896 is an abundant number, since it is smaller than the sum of its proper divisors (257275104).

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

153376896 is a wasteful number, since it uses less digits than its factorization.

153376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3185 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 153376896 is about 12384.5426237710. The cubic root of 153376896 is about 535.2869407270.

The spelling of 153376896 in words is "one hundred fifty-three million, three hundred seventy-six thousand, eight hundred ninety-six".