145397316100 has 81 divisors (see below), whose sum is σ = 335312946367. Its totient is φ = 54713409280.

The previous prime is 145397316089. The next prime is 145397316121. The reversal of 145397316100 is 1613793541.

The square root of 145397316100 is 381310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3400989124 + 141996326976 = 58318^2 + 376824^2 .

It is a super-3 number, since 3×145397316100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64821579 + ... + 64823821.

Almost surely, 2^145397316100 is an apocalyptic number.

145397316100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145397316100 is the 381310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145397316100

145397316100 is an abundant number, since it is smaller than the sum of its proper divisors (189915630267).

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

145397316100 is an equidigital number, since it uses as much as digits as its factorization.

145397316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 145397316100 in words is "one hundred forty-five billion, three hundred ninety-seven million, three hundred sixteen thousand, one hundred".