145656900 has 144 divisors (see below), whose sum is σ = 475316800. Its totient is φ = 38257920.

The previous prime is 145656883. The next prime is 145656923. The reversal of 145656900 is 9656541.

145656900 = T₂₂₁ + T₂₂₂ + ... + T₉₅₉.

145656900 is a `hidden beast` number, since 1 + 4 + 565 + 6 + 90 + 0 = 666.

It is a super-2 number, since 2×145656900² = 42431865035220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196731 + ... + 197469.

Almost surely, 2^145656900 is an apocalyptic number.

145656900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145656900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237658400).

145656900 is an abundant number, since it is smaller than the sum of its proper divisors (329659900).

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

145656900 is a wasteful number, since it uses less digits than its factorization.

145656900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 145656900 is about 12068.8400436827. The cubic root of 145656900 is about 526.1509443574.

The spelling of 145656900 in words is "one hundred forty-five million, six hundred fifty-six thousand, nine hundred".