145253837536900 has 81 divisors (see below), whose sum is σ = 318147881424429. Its totient is φ = 57563286888960.

The previous prime is 145253837536883. The next prime is 145253837536919. The reversal of 145253837536900 is 9635738352541.

The square root of 145253837536900 is 12052130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 110867716831876 + 34386120705024 = 10529374^2 + 5863968^2 .

It is a super-2 number, since 2×145253837536900² (a number of 29 digits) contains 22 as substring.

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, 13136816172 + ... + 13136827228.

It is a 1-persistent number, because it is pandigital, but 2⋅145253837536900 = 290507675073800 is not.

Almost surely, 2^{145253837536900} is an apocalyptic number.

145253837536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145253837536900 is the 12052130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145253837536900

145253837536900 is an abundant number, since it is smaller than the sum of its proper divisors (172894043887529).

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

145253837536900 is an frugal number, since it uses more digits than its factorization.

145253837536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22346 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 61.

The spelling of 145253837536900 in words is "one hundred forty-five trillion, two hundred fifty-three billion, eight hundred thirty-seven million, five hundred thirty-six thousand, nine hundred".