147238082400 has 288 divisors, whose sum is σ = 487205566848. Its totient is φ = 38616883200.

The previous prime is 147238082363. The next prime is 147238082429. The reversal of 147238082400 is 4280832741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48005667 + ... + 48008733.

It is an arithmetic number, because the mean of its divisors is an integer number (1691685996).

Almost surely, 2^147238082400 is an apocalyptic number.

147238082400 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 147238082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243602783424).

147238082400 is an abundant number, since it is smaller than the sum of its proper divisors (339967484448).

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

147238082400 is a wasteful number, since it uses less digits than its factorization.

147238082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 147238082400 in words is "one hundred forty-seven billion, two hundred thirty-eight million, eighty-two thousand, four hundred".