37146780225 has 45 divisors (see below), whose sum is σ = 68824747123. Its totient is φ = 19806990480.

The previous prime is 37146780193. The next prime is 37146780233. The reversal of 37146780225 is 52208764173.

The square root of 37146780225 is 192735.

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., 13372840881 + 23773939344 = 115641^2 + 154188^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 37146780225 - 2⁵ = 37146780193 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 an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8670934 + ... + 8675216.

Almost surely, 2^37146780225 is an apocalyptic number.

37146780225 is the 192735-th square number.

37146780225 is the 96368-th centered octagonal number.

It is an amenable number.

37146780225 is a deficient number, since it is larger than the sum of its proper divisors (31677966898).

37146780225 is an frugal number, since it uses more digits than its factorization.

37146780225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 37146780225 in words is "thirty-seven billion, one hundred forty-six million, seven hundred eighty thousand, two hundred twenty-five".