145119600 has 180 divisors, whose sum is σ = 522607176. Its totient is φ = 38672640.

The previous prime is 145119577. The next prime is 145119617. The reversal of 145119600 is 6911541.

145119600 is a `hidden beast` number, since 1 + 4 + 51 + 1 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96454 + ... + 97946.

Almost surely, 2^145119600 is an apocalyptic number.

145119600 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 145119600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261303588).

145119600 is an abundant number, since it is smaller than the sum of its proper divisors (377487576).

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

145119600 is a wasteful number, since it uses less digits than its factorization.

145119600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 145119600 is about 12046.5596748615. The cubic root of 145119600 is about 525.5031910273.

The spelling of 145119600 in words is "one hundred forty-five million, one hundred nineteen thousand, six hundred".