134935002225 has 81 divisors (see below), whose sum is σ = 251243357547. Its totient is φ = 71885990160.

The previous prime is 134935002211. The next prime is 134935002233. The reversal of 134935002225 is 522200539431.

The square root of 134935002225 is 367335.

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

It can be written as a sum of positive squares in only one way, i.e., 48576600801 + 86358401424 = 220401^2 + 293868^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 134935002225 - 2¹¹ = 134935000177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 134935002225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148770222 + ... + 148771128.

Almost surely, 2^134935002225 is an apocalyptic number.

134935002225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134935002225 is the 367335-th square number.

134935002225 is the 183668-th centered octagonal number.

It is an amenable number.

134935002225 is a deficient number, since it is larger than the sum of its proper divisors (116308355322).

134935002225 is an frugal number, since it uses more digits than its factorization.

134935002225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 134935002225 by its sum of digits (36), we get a square (4857660080100 = 2204010²).

The spelling of 134935002225 in words is "one hundred thirty-four billion, nine hundred thirty-five million, two thousand, two hundred twenty-five".