145459288400 has 30 divisors (see below), whose sum is σ = 349465941342. Its totient is φ = 58183715200.

The previous prime is 145459288397. The next prime is 145459288409. The reversal of 145459288400 is 4882954541.

It can be written as a sum of positive squares in 3 ways, for example, as 18817254976 + 126642033424 = 137176^2 + 355868^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145459288409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181823711 + ... + 181824510.

Almost surely, 2^145459288400 is an apocalyptic number.

145459288400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145459288400 is an abundant number, since it is smaller than the sum of its proper divisors (204006652942).

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

145459288400 is a wasteful number, since it uses less digits than its factorization.

145459288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363648239 (or 363648228 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 50.

The spelling of 145459288400 in words is "one hundred forty-five billion, four hundred fifty-nine million, two hundred eighty-eight thousand, four hundred".