145641456900 has 81 divisors (see below), whose sum is σ = 456540944223. Its totient is φ = 38834668800.

The previous prime is 145641456869. The next prime is 145641456913. The reversal of 145641456900 is 9654146541.

The square root of 145641456900 is 381630.

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

145641456900 is a `hidden beast` number, since 1 + 45 + 6 + 41 + 4 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11667888324 + 133973568576 = 108018^2 + 366024^2 .

It is a super-2 number, since 2×145641456900² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11442540 + ... + 11455260.

Almost surely, 2^145641456900 is an apocalyptic number.

145641456900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145641456900 is the 381630-th square number.

It is an amenable number.

145641456900 is an abundant number, since it is smaller than the sum of its proper divisors (310899487323).

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

145641456900 is an equidigital number, since it uses as much as digits as its factorization.

145641456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25462 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 145641456900 in words is "one hundred forty-five billion, six hundred forty-one million, four hundred fifty-six thousand, nine hundred".