147193670400 has 864 divisors, whose sum is σ = 613598727168. Its totient is φ = 30277632000.

The previous prime is 147193670381. The next prime is 147193670447. The reversal of 147193670400 is 4076391741.

It is a super-3 number, since 3×147193670400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52549000 + ... + 52551800.

It is an arithmetic number, because the mean of its divisors is an integer number (710183712).

Almost surely, 2^147193670400 is an apocalyptic number.

147193670400 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 147193670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306799363584).

147193670400 is an abundant number, since it is smaller than the sum of its proper divisors (466405056768).

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

147193670400 is a wasteful number, since it uses less digits than its factorization.

147193670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 147193670400 in words is "one hundred forty-seven billion, one hundred ninety-three million, six hundred seventy thousand, four hundred".