145107362400 has 2592 divisors, whose sum is σ = 714496769280. Its totient is φ = 24816844800.

The previous prime is 145107362399. The next prime is 145107362441. The reversal of 145107362400 is 4263701541.

It is a super-2 number, since 2×145107362400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7637229591 + ... + 7637229609.

Almost surely, 2^145107362400 is an apocalyptic number.

145107362400 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 145107362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357248384640).

145107362400 is an abundant number, since it is smaller than the sum of its proper divisors (569389406880).

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

145107362400 is a wasteful number, since it uses less digits than its factorization.

145107362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 145107362400 in words is "one hundred forty-five billion, one hundred seven million, three hundred sixty-two thousand, four hundred".