145123310400 has 84 divisors (see below), whose sum is σ = 476125409952. Its totient is φ = 38699548160.

The previous prime is 145123310399. The next prime is 145123310413. The reversal of 145123310400 is 4013321541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15112212 + ... + 15121811.

Almost surely, 2^145123310400 is an apocalyptic number.

145123310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145123310400 is an abundant number, since it is smaller than the sum of its proper divisors (331002099552).

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

145123310400 is a wasteful number, since it uses less digits than its factorization.

145123310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30234048 (or 30234033 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 145123310400 its reverse (4013321541), we get a palindrome (149136631941).

The spelling of 145123310400 in words is "one hundred forty-five billion, one hundred twenty-three million, three hundred ten thousand, four hundred".