145916360100 has 729 divisors, whose sum is σ = 570507595203. Its totient is φ = 31097041920.

The previous prime is 145916360081. The next prime is 145916360101. The reversal of 145916360100 is 1063619541.

The square root of 145916360100 is 381990.

It is a perfect power (a square), and thus also a powerful number.

145916360100 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 1 + 636 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3413130084 + 142503230016 = 58422^2 + 377496^2 .

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

It is not an unprimeable number, because it can be changed into a prime (145916360101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1363704247 + ... + 1363704353.

Almost surely, 2^145916360100 is an apocalyptic number.

145916360100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145916360100 is the 381990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145916360100

145916360100 is an abundant number, since it is smaller than the sum of its proper divisors (424591235103).

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

145916360100 is a wasteful number, since it uses less digits than its factorization.

145916360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 145916360100 by its sum of digits (36), we get a square (5252988963600 = 2291940²).

145916360100 divided by its sum of digits (36) gives a square (4053232225 = 63665²).

Adding to 145916360100 its reverse (1063619541), we get a palindrome (146979979641).

The spelling of 145916360100 in words is "one hundred forty-five billion, nine hundred sixteen million, three hundred sixty thousand, one hundred".