900145537600 has 63 divisors (see below), whose sum is σ = 2215013999097. Its totient is φ = 360043034880.

The previous prime is 900145537589. The next prime is 900145537663. The reversal of 900145537600 is 6735541009.

The square root of 900145537600 is 948760.

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., 324052393536 + 576093144064 = 569256^2 + 759008^2 .

It is a super-2 number, since 2×900145537600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37938541 + ... + 37962259.

Almost surely, 2^900145537600 is an apocalyptic number.

900145537600 is the 948760-th square number.

It is an amenable number.

900145537600 is an abundant number, since it is smaller than the sum of its proper divisors (1314868461497).

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

900145537600 is an frugal number, since it uses more digits than its factorization.

900145537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47460 (or 23726 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 900145537600 in words is "nine hundred billion, one hundred forty-five million, five hundred thirty-seven thousand, six hundred".