147389083142400 has 5184 divisors, whose sum is σ = 662875829231616. Its totient is φ = 31988514816000.

The previous prime is 147389083142369. The next prime is 147389083142419. The reversal of 147389083142400 is 4241380983741.

147389083142400 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 8 + 90 + 8 + 3 + 142 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 560414764669 + ... + 560414764931.

It is an arithmetic number, because the mean of its divisors is an integer number (127869565824).

Almost surely, 2^{147389083142400} is an apocalyptic number.

147389083142400 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 147389083142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331437914615808).

147389083142400 is an abundant number, since it is smaller than the sum of its proper divisors (515486746089216).

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

147389083142400 is a wasteful number, since it uses less digits than its factorization.

147389083142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 147389083142400 in words is "one hundred forty-seven trillion, three hundred eighty-nine billion, eighty-three million, one hundred forty-two thousand, four hundred".