145948755400 has 96 divisors (see below), whose sum is σ = 392715936000. Its totient is φ = 49406123520.

The previous prime is 145948755389. The next prime is 145948755413. The reversal of 145948755400 is 4557849541.

145948755400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549205 + ... + 770404.

It is an arithmetic number, because the mean of its divisors is an integer number (4090791000).

Almost surely, 2^145948755400 is an apocalyptic number.

145948755400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145948755400 is an abundant number, since it is smaller than the sum of its proper divisors (246767180600).

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

145948755400 is a wasteful number, since it uses less digits than its factorization.

145948755400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319711 (or 1319702 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 145948755400 in words is "one hundred forty-five billion, nine hundred forty-eight million, seven hundred fifty-five thousand, four hundred".