145041084815400 has 768 divisors, whose sum is σ = 513539676000000. Its totient is φ = 37611845406720.

The previous prime is 145041084815383. The next prime is 145041084815467. The reversal of 145041084815400 is 4518480140541.

145041084815400 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 410 + 84 + 8 + 154 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14877529726 + ... + 14877539474.

It is an arithmetic number, because the mean of its divisors is an integer number (668671453125).

Almost surely, 2^{145041084815400} is an apocalyptic number.

145041084815400 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 145041084815400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256769838000000).

145041084815400 is an abundant number, since it is smaller than the sum of its proper divisors (368498591184600).

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

145041084815400 is a wasteful number, since it uses less digits than its factorization.

145041084815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 145041084815400 in words is "one hundred forty-five trillion, forty-one billion, eighty-four million, eight hundred fifteen thousand, four hundred".