145455989400 has 288 divisors, whose sum is σ = 501184953360. Its totient is φ = 37793157120.

The previous prime is 145455989387. The next prime is 145455989423. The reversal of 145455989400 is 4989554541.

145455989400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 598 + 9 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10899532 + ... + 10912868.

Almost surely, 2^145455989400 is an apocalyptic number.

145455989400 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 145455989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250592476680).

145455989400 is an abundant number, since it is smaller than the sum of its proper divisors (355728963960).

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

145455989400 is a wasteful number, since it uses less digits than its factorization.

145455989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515 (or 13503 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 145455989400 in words is "one hundred forty-five billion, four hundred fifty-five million, nine hundred eighty-nine thousand, four hundred".