145303138400 has 288 divisors, whose sum is σ = 430132469760. Its totient is φ = 46820229120.

The previous prime is 145303138369. The next prime is 145303138417. The reversal of 145303138400 is 4831303541.

It is a super-2 number, since 2×145303138400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13507424 + ... + 13518176.

It is an arithmetic number, because the mean of its divisors is an integer number (1493515520).

Almost surely, 2^145303138400 is an apocalyptic number.

145303138400 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 145303138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066234880).

145303138400 is an abundant number, since it is smaller than the sum of its proper divisors (284829331360).

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

145303138400 is a wasteful number, since it uses less digits than its factorization.

145303138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 145303138400 in words is "one hundred forty-five billion, three hundred three million, one hundred thirty-eight thousand, four hundred".