145932494400 has 1344 divisors, whose sum is σ = 698455296000. Its totient is φ = 28715212800.

The previous prime is 145932494399. The next prime is 145932494437. The reversal of 145932494400 is 4494239541.

145932494400 is a `hidden beast` number, since 14 + 593 + 2 + 4 + 9 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63200446 + ... + 63202754.

It is an arithmetic number, because the mean of its divisors is an integer number (519684000).

Almost surely, 2^145932494400 is an apocalyptic number.

145932494400 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 145932494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349227648000).

145932494400 is an abundant number, since it is smaller than the sum of its proper divisors (552522801600).

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

145932494400 is a wasteful number, since it uses less digits than its factorization.

145932494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 145932494400 in words is "one hundred forty-five billion, nine hundred thirty-two million, four hundred ninety-four thousand, four hundred".