153400896 has 252 divisors, whose sum is σ = 505919232. Its totient is φ = 44352000.

The previous prime is 153400883. The next prime is 153400913. The reversal of 153400896 is 698004351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 153400896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2160541 + ... + 2160611.

It is an arithmetic number, because the mean of its divisors is an integer number (2007616).

Almost surely, 2^153400896 is an apocalyptic number.

153400896 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 153400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

153400896 is an abundant number, since it is smaller than the sum of its proper divisors (352518336).

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

153400896 is a wasteful number, since it uses less digits than its factorization.

153400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 153400896 is about 12385.5115356613. The cubic root of 153400896 is about 535.3148593529.

The spelling of 153400896 in words is "one hundred fifty-three million, four hundred thousand, eight hundred ninety-six".