146639214225 has 135 divisors (see below), whose sum is σ = 306992650289. Its totient is φ = 66906403200.

The previous prime is 146639214191. The next prime is 146639214233. The reversal of 146639214225 is 522412936641.

The square root of 146639214225 is 382935.

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

146639214225 is a `hidden beast` number, since 1 + 4 + 6 + 639 + 2 + 1 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18409333761 + 128229880464 = 135681^2 + 358092^2 .

It is not a de Polignac number, because 146639214225 - 2⁹ = 146639213713 is a prime.

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

It is a Duffinian number.

It is a Curzon 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, 281456965 + ... + 281457485.

Almost surely, 2^146639214225 is an apocalyptic number.

146639214225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146639214225 is the 382935-th square number.

146639214225 is the 191468-th centered octagonal number.

It is an amenable number.

146639214225 is an abundant number, since it is smaller than the sum of its proper divisors (160353436064).

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

146639214225 is an frugal number, since it uses more digits than its factorization.

146639214225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 536 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 146639214225 in words is "one hundred forty-six billion, six hundred thirty-nine million, two hundred fourteen thousand, two hundred twenty-five".