147449152800 has 432 divisors, whose sum is σ = 534687465312. Its totient is φ = 38212300800.

The previous prime is 147449152793. The next prime is 147449152831. The reversal of 147449152800 is 8251944741.

147449152800 is a `hidden beast` number, since 14 + 74 + 49 + 1 + 528 + 0 + 0 = 666.

It is a super-2 number, since 2×147449152800² (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 71 ways as a sum of consecutive naturals, for example, 90625587 + ... + 90627213.

It is an arithmetic number, because the mean of its divisors is an integer number (1237702466).

Almost surely, 2^147449152800 is an apocalyptic number.

147449152800 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 147449152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267343732656).

147449152800 is an abundant number, since it is smaller than the sum of its proper divisors (387238312512).

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

147449152800 is a wasteful number, since it uses less digits than its factorization.

147449152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 147449152800 in words is "one hundred forty-seven billion, four hundred forty-nine million, one hundred fifty-two thousand, eight hundred".