147672805284900 has 405 divisors, whose sum is σ = 556880360298339. Its totient is φ = 33752034167040.

The previous prime is 147672805284887. The next prime is 147672805284913. The reversal of 147672805284900 is 9482508276741.

It is a happy number.

The square root of 147672805284900 is 12152070.

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

147672805284900 is a `hidden beast` number, since 1 + 4 + 7 + 67 + 2 + 8 + 0 + 528 + 49 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (147672805284887) and next prime (147672805284913).

It can be written as a sum of positive squares in 4 ways, for example, as 517078922724 + 147155726362176 = 719082^2 + 12130776^2 .

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 (63).

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, 7655794456 + ... + 7655813744.

Almost surely, 2^{147672805284900} is an apocalyptic number.

147672805284900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147672805284900 is the 12152070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147672805284900

147672805284900 is an abundant number, since it is smaller than the sum of its proper divisors (409207555013439).

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

147672805284900 is an frugal number, since it uses more digits than its factorization.

147672805284900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38618 (or 19306 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 147672805284900 in words is "one hundred forty-seven trillion, six hundred seventy-two billion, eight hundred five million, two hundred eighty-four thousand, nine hundred".