145724431860 has 336 divisors, whose sum is σ = 551973744000. Its totient is φ = 31554945792.

The previous prime is 145724431847. The next prime is 145724431889. The reversal of 145724431860 is 68134427541.

145724431860 is a `hidden beast` number, since 1 + 4 + 572 + 4 + 4 + 3 + 18 + 60 = 666.

It is a super-2 number, since 2×145724431860² (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 (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1901566 + ... + 1976714.

It is an arithmetic number, because the mean of its divisors is an integer number (1642779000).

Almost surely, 2^145724431860 is an apocalyptic number.

145724431860 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 145724431860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275986872000).

145724431860 is an abundant number, since it is smaller than the sum of its proper divisors (406249312140).

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

145724431860 is a wasteful number, since it uses less digits than its factorization.

145724431860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75202 (or 75185 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 145724431860 in words is "one hundred forty-five billion, seven hundred twenty-four million, four hundred thirty-one thousand, eight hundred sixty".