147319754400 has 2160 divisors, whose sum is σ = 696983452704. Its totient is φ = 29994209280.

The previous prime is 147319754389. The next prime is 147319754429. The reversal of 147319754400 is 4457913741.

It is a happy number.

147319754400 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 197 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×147319754400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1774936759 + ... + 1774936841.

Almost surely, 2^147319754400 is an apocalyptic number.

147319754400 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 147319754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348491726352).

147319754400 is an abundant number, since it is smaller than the sum of its proper divisors (549663698304).

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

147319754400 is a wasteful number, since it uses less digits than its factorization.

147319754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 147319754400 in words is "one hundred forty-seven billion, three hundred nineteen million, seven hundred fifty-four thousand, four hundred".