145875038400 has 3024 divisors, whose sum is σ = 731896488960. Its totient is φ = 28217548800.

The previous prime is 145875038377. The next prime is 145875038401. The reversal of 145875038400 is 4830578541.

145875038400 is a `hidden beast` number, since 14 + 58 + 7 + 503 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145875038401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4705646385 + ... + 4705646415.

Almost surely, 2^145875038400 is an apocalyptic number.

145875038400 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 145875038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365948244480).

145875038400 is an abundant number, since it is smaller than the sum of its proper divisors (586021450560).

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

145875038400 is a wasteful number, since it uses less digits than its factorization.

145875038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 145875038400 in words is "one hundred forty-five billion, eight hundred seventy-five million, thirty-eight thousand, four hundred".