145294873200 has 240 divisors, whose sum is σ = 539627485440. Its totient is φ = 37060657920.

The previous prime is 145294873169. The next prime is 145294873231. The reversal of 145294873200 is 2378492541.

145294873200 is a `hidden beast` number, since 1 + 452 + 94 + 87 + 32 + 0 + 0 = 666.

145294873200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145294873169) and next prime (145294873231).

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

It is a super-2 number, since 2×145294873200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44062 + ... + 540861.

It is an arithmetic number, because the mean of its divisors is an integer number (2248447856).

Almost surely, 2^145294873200 is an apocalyptic number.

145294873200 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 145294873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269813742720).

145294873200 is an abundant number, since it is smaller than the sum of its proper divisors (394332612240).

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

145294873200 is a wasteful number, since it uses less digits than its factorization.

145294873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584973 (or 584956 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 145294873200 in words is "one hundred forty-five billion, two hundred ninety-four million, eight hundred seventy-three thousand, two hundred".