145789200 has 120 divisors (see below), whose sum is σ = 518940000. Its totient is φ = 38874240.

The previous prime is 145789129. The next prime is 145789219. The reversal of 145789200 is 2987541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4051 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (4324500).

Almost surely, 2^145789200 is an apocalyptic number.

145789200 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 145789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259470000).

145789200 is an abundant number, since it is smaller than the sum of its proper divisors (373150800).

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

145789200 is a wasteful number, since it uses less digits than its factorization.

145789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13526 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 145789200 is about 12074.3198566213. The cubic root of 145789200 is about 526.3101969230.

The spelling of 145789200 in words is "one hundred forty-five million, seven hundred eighty-nine thousand, two hundred".