137348901225 has 18 divisors (see below), whose sum is σ = 246007143486. Its totient is φ = 73252747200.

The previous prime is 137348901223. The next prime is 137348901271. The reversal of 137348901225 is 522109843731.

It is a happy number.

137348901225 is a `hidden beast` number, since 137 + 3 + 489 + 0 + 12 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25963843689 + 111385057536 = 161133^2 + 333744^2 .

It is not a de Polignac number, because 137348901225 - 2¹ = 137348901223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (137348901223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 305219556 + ... + 305220005.

It is an arithmetic number, because the mean of its divisors is an integer number (13667063527).

Almost surely, 2^137348901225 is an apocalyptic number.

137348901225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137348901225 is a deficient number, since it is larger than the sum of its proper divisors (108658242261).

137348901225 is a wasteful number, since it uses less digits than its factorization.

137348901225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610439577 (or 610439569 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 137348901225 in words is "one hundred thirty-seven billion, three hundred forty-eight million, nine hundred one thousand, two hundred twenty-five".