145616571900 has 864 divisors, whose sum is σ = 549864806400. Its totient is φ = 31933440000.

The previous prime is 145616571857. The next prime is 145616571911. The reversal of 145616571900 is 9175616541.

145616571900 is a `hidden beast` number, since 1 + 456 + 1 + 6 + 5 + 7 + 190 + 0 = 666.

It is a super-2 number, since 2×145616571900² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 193896525 + ... + 193897275.

It is an arithmetic number, because the mean of its divisors is an integer number (636417600).

Almost surely, 2^145616571900 is an apocalyptic number.

145616571900 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 145616571900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274932403200).

145616571900 is an abundant number, since it is smaller than the sum of its proper divisors (404248234500).

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

145616571900 is a wasteful number, since it uses less digits than its factorization.

145616571900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 145616571900 in words is "one hundred forty-five billion, six hundred sixteen million, five hundred seventy-one thousand, nine hundred".