145253402400 has 72 divisors (see below), whose sum is σ = 472799832624. Its totient is φ = 38734240000.

The previous prime is 145253402353. The next prime is 145253402443. The reversal of 145253402400 is 4204352541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30258726 + ... + 30263525.

It is an arithmetic number, because the mean of its divisors is an integer number (6566664342).

Almost surely, 2^145253402400 is an apocalyptic number.

145253402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145253402400 is an abundant number, since it is smaller than the sum of its proper divisors (327546430224).

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

145253402400 is a wasteful number, since it uses less digits than its factorization.

145253402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60522274 (or 60522261 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 145253402400 its reverse (4204352541), we get a palindrome (149457754941).

The spelling of 145253402400 in words is "one hundred forty-five billion, two hundred fifty-three million, four hundred two thousand, four hundred".