145358438400 has 1080 divisors, whose sum is σ = 613561812864. Its totient is φ = 32204390400.

The previous prime is 145358438399. The next prime is 145358438441. The reversal of 145358438400 is 4834853541.

145358438400 is a `hidden beast` number, since 1 + 4 + 535 + 84 + 38 + 4 + 0 + 0 = 666.

145358438400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145358438400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1109606335 + ... + 1109606465.

Almost surely, 2^145358438400 is an apocalyptic number.

145358438400 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 145358438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306780906432).

145358438400 is an abundant number, since it is smaller than the sum of its proper divisors (468203374464).

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

145358438400 is a wasteful number, since it uses less digits than its factorization.

145358438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 145358438400 in words is "one hundred forty-five billion, three hundred fifty-eight million, four hundred thirty-eight thousand, four hundred".