153256400 has 120 divisors (see below), whose sum is σ = 408970848. Its totient is φ = 54720000.

The previous prime is 153256391. The next prime is 153256409. The reversal of 153256400 is 4652351.

It is an interprime number because it is at equal distance from previous prime (153256391) and next prime (153256409).

It is a self number, because there is not a number n which added to its sum of digits gives 153256400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153256409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268115 + ... + 268685.

Almost surely, 2^153256400 is an apocalyptic number.

153256400 is a gapful number since it is divisible by the number (10) 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 153256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204485424).

153256400 is an abundant number, since it is smaller than the sum of its proper divisors (255714448).

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

153256400 is a wasteful number, since it uses less digits than its factorization.

153256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 153256400 is about 12379.6768940066. The cubic root of 153256400 is about 535.1467265768.

The spelling of 153256400 in words is "one hundred fifty-three million, two hundred fifty-six thousand, four hundred".