147479040900 has 405 divisors, whose sum is σ = 509876044447. Its totient is φ = 36866880000.

The previous prime is 147479040893. The next prime is 147479040923. The reversal of 147479040900 is 9040974741.

The square root of 147479040900 is 384030.

It is a perfect power (a square), and thus also a powerful number.

147479040900 is a `hidden beast` number, since 1 + 474 + 7 + 90 + 4 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3449682756 + 144029358144 = 58734^2 + 379512^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 587565775 + ... + 587566025.

Almost surely, 2^147479040900 is an apocalyptic number.

147479040900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147479040900 is the 384030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147479040900

147479040900 is an abundant number, since it is smaller than the sum of its proper divisors (362397003547).

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

147479040900 is a wasteful number, since it uses less digits than its factorization.

147479040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 147479040900 in words is "one hundred forty-seven billion, four hundred seventy-nine million, forty thousand, nine hundred".