145364900 has 36 divisors (see below), whose sum is σ = 319779012. Its totient is φ = 57346560.

The previous prime is 145364881. The next prime is 145364917. The reversal of 145364900 is 9463541.

It can be written as a sum of positive squares in 6 ways, for example, as 24760576 + 120604324 = 4976^2 + 10982^2 .

It is a super-2 number, since 2×145364900² = 42261908304020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2657 + ... + 17256.

Almost surely, 2^145364900 is an apocalyptic number.

145364900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145364900 is an abundant number, since it is smaller than the sum of its proper divisors (174414112).

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

145364900 is a wasteful number, since it uses less digits than its factorization.

145364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20000 (or 19993 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 145364900 is about 12056.7367060909. The cubic root of 145364900 is about 525.7991156065.

The spelling of 145364900 in words is "one hundred forty-five million, three hundred sixty-four thousand, nine hundred".