145202979398400 has 2592 divisors, whose sum is σ = 704800914854400. Its totient is φ = 27597923942400.

The previous prime is 145202979398363. The next prime is 145202979398443. The reversal of 145202979398400 is 4893979202541.

145202979398400 is a `hidden beast` number, since 1 + 4 + 52 + 0 + 2 + 9 + 7 + 93 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2443765492 + ... + 2443824908.

It is an arithmetic number, because the mean of its divisors is an integer number (271913933200).

Almost surely, 2^{145202979398400} is an apocalyptic number.

145202979398400 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 145202979398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352400457427200).

145202979398400 is an abundant number, since it is smaller than the sum of its proper divisors (559597935456000).

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

145202979398400 is a wasteful number, since it uses less digits than its factorization.

145202979398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59515 (or 59493 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 145202979398400 in words is "one hundred forty-five trillion, two hundred two billion, nine hundred seventy-nine million, three hundred ninety-eight thousand, four hundred".