153412896 has 192 divisors, whose sum is σ = 525305088. Its totient is φ = 38043648.

The previous prime is 153412891. The next prime is 153412901. The reversal of 153412896 is 698214351.

It is an interprime number because it is at equal distance from previous prime (153412891) and next prime (153412901).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (153412891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147996 + ... + 149028.

It is an arithmetic number, because the mean of its divisors is an integer number (2735964).

Almost surely, 2^153412896 is an apocalyptic number.

153412896 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 153412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262652544).

153412896 is an abundant number, since it is smaller than the sum of its proper divisors (371892192).

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

153412896 is a wasteful number, since it uses less digits than its factorization.

153412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 153412896 is about 12385.9959631836. The cubic root of 153412896 is about 535.3288175739.

The spelling of 153412896 in words is "one hundred fifty-three million, four hundred twelve thousand, eight hundred ninety-six".