147014400 has 432 divisors, whose sum is σ = 567741440. Its totient is φ = 33177600.

The previous prime is 147014393. The next prime is 147014401. The reversal of 147014400 is 4410741.

147014400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147014400² = 43226467614720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147014401) 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, 4742385 + ... + 4742415.

Almost surely, 2^147014400 is an apocalyptic number.

147014400 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 147014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283870720).

147014400 is an abundant number, since it is smaller than the sum of its proper divisors (420727040).

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

147014400 is a wasteful number, since it uses less digits than its factorization.

147014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 147014400 is about 12124.9494844309. The cubic root of 147014400 is about 527.7804413121.

The spelling of 147014400 in words is "one hundred forty-seven million, fourteen thousand, four hundred".