145064400 has 240 divisors, whose sum is σ = 530841024. Its totient is φ = 33546240.

The previous prime is 145064377. The next prime is 145064443. The reversal of 145064400 is 4460541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 264927 + ... + 265473.

Almost surely, 2^145064400 is an apocalyptic number.

145064400 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 145064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265420512).

145064400 is an abundant number, since it is smaller than the sum of its proper divisors (385776624).

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

145064400 is a wasteful number, since it uses less digits than its factorization.

145064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145064400 is about 12044.2683463961. The cubic root of 145064400 is about 525.4365529925.

The spelling of 145064400 in words is "one hundred forty-five million, sixty-four thousand, four hundred".