159140400 has 240 divisors, whose sum is σ = 560455200. Its totient is φ = 38420480.

The previous prime is 159140389. The next prime is 159140407. The reversal of 159140400 is 4041951.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159140407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591466 + ... + 591734.

It is an arithmetic number, because the mean of its divisors is an integer number (2335230).

Almost surely, 2^159140400 is an apocalyptic number.

159140400 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 159140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280227600).

159140400 is an abundant number, since it is smaller than the sum of its proper divisors (401314800).

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

159140400 is a wasteful number, since it uses less digits than its factorization.

159140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 159140400 is about 12615.0862066020. The cubic root of 159140400 is about 541.9095631209.

The spelling of 159140400 in words is "one hundred fifty-nine million, one hundred forty thousand, four hundred".