147938918400 has 1800 divisors, whose sum is σ = 688290495200. Its totient is φ = 31213486080.

The previous prime is 147938918317. The next prime is 147938918509. The reversal of 147938918400 is 4819839741.

147938918400 is a `hidden beast` number, since 1 + 479 + 3 + 8 + 91 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-3 number, since 3×147938918400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11379916794 + ... + 11379916806.

Almost surely, 2^147938918400 is an apocalyptic number.

147938918400 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 147938918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344145247600).

147938918400 is an abundant number, since it is smaller than the sum of its proper divisors (540351576800).

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

147938918400 is an frugal number, since it uses more digits than its factorization.

147938918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 147938918400 in words is "one hundred forty-seven billion, nine hundred thirty-eight million, nine hundred eighteen thousand, four hundred".