145954400 has 36 divisors (see below), whose sum is σ = 356313132. Its totient is φ = 58381440.

The previous prime is 145954373. The next prime is 145954423. The reversal of 145954400 is 4459541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 90422 + ... + 92021.

It is an arithmetic number, because the mean of its divisors is an integer number (9897587).

Almost surely, 2^145954400 is an apocalyptic number.

145954400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145954400 is an abundant number, since it is smaller than the sum of its proper divisors (210358732).

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

145954400 is a wasteful number, since it uses less digits than its factorization.

145954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182463 (or 182450 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 145954400 is about 12081.1588848090. The cubic root of 145954400 is about 526.5089167740.

The spelling of 145954400 in words is "one hundred forty-five million, nine hundred fifty-four thousand, four hundred".