147901420800 has 432 divisors, whose sum is σ = 619821578880. Its totient is φ = 33805762560.

The previous prime is 147901420787. The next prime is 147901420847. The reversal of 147901420800 is 8024109741.

147901420800 is a `hidden beast` number, since 147 + 90 + 1 + 420 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1148464 + ... + 1270736.

Almost surely, 2^147901420800 is an apocalyptic number.

147901420800 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 147901420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309910789440).

147901420800 is an abundant number, since it is smaller than the sum of its proper divisors (471920158080).

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

147901420800 is a wasteful number, since it uses less digits than its factorization.

147901420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122315 (or 122290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 147901420800 in words is "one hundred forty-seven billion, nine hundred one million, four hundred twenty thousand, eight hundred".