159014400 has 240 divisors, whose sum is σ = 543433968. Its totient is φ = 40960000.

The previous prime is 159014389. The next prime is 159014411. The reversal of 159014400 is 4410951.

It is an interprime number because it is at equal distance from previous prime (159014389) and next prime (159014411).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574350 + ... + 1574450.

Almost surely, 2^159014400 is an apocalyptic number.

159014400 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 159014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271716984).

159014400 is an abundant number, since it is smaller than the sum of its proper divisors (384419568).

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

159014400 is a wasteful number, since it uses less digits than its factorization.

159014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

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

The square root of 159014400 is about 12610.0911971326. The cubic root of 159014400 is about 541.7665057256.

It can be divided in two parts, 15901 and 4400, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 159014400 in words is "one hundred fifty-nine million, fourteen thousand, four hundred".