153068400 has 120 divisors (see below), whose sum is σ = 544848560. Its totient is φ = 40815360.

The previous prime is 153068393. The next prime is 153068407. The reversal of 153068400 is 4860351.

153068400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153068393) and next prime (153068407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153068407) 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, 3714 + ... + 17886.

Almost surely, 2^153068400 is an apocalyptic number.

153068400 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 153068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272424280).

153068400 is an abundant number, since it is smaller than the sum of its proper divisors (391780160).

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

153068400 is a wasteful number, since it uses less digits than its factorization.

153068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14200 (or 14183 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153068400 is about 12372.0814740285. The cubic root of 153068400 is about 534.9278151073.

The spelling of 153068400 in words is "one hundred fifty-three million, sixty-eight thousand, four hundred".