145976800 has 36 divisors (see below), whose sum is σ = 356367816. Its totient is φ = 58390400.

The previous prime is 145976767. The next prime is 145976813. The reversal of 145976800 is 8679541.

145976800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145976800² = 42618452276480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90436 + ... + 92035.

It is an arithmetic number, because the mean of its divisors is an integer number (9899106).

Almost surely, 2^145976800 is an apocalyptic number.

145976800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145976800 is an abundant number, since it is smaller than the sum of its proper divisors (210391016).

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

145976800 is a wasteful number, since it uses less digits than its factorization.

145976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182491 (or 182478 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 145976800 is about 12082.0859126229. The cubic root of 145976800 is about 526.5358502921.

The spelling of 145976800 in words is "one hundred forty-five million, nine hundred seventy-six thousand, eight hundred".