145263656250 has 84 divisors (see below), whose sum is σ = 393418128246. Its totient is φ = 38736900000.

The previous prime is 145263656221. The next prime is 145263656281. The reversal of 145263656250 is 52656362541.

145263656250 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 36 + 562 + 50 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 87975712449 + 57287943801 = 296607^2 + 239349^2 .

It is a super-2 number, since 2×145263656250² (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 junction number, because it is equal to n+sod(n) for n = 145263656196 and 145263656205.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 23004 + ... + 539496.

Almost surely, 2^145263656250 is an apocalyptic number.

145263656250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145263656250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196709064123).

145263656250 is an abundant number, since it is smaller than the sum of its proper divisors (248154471996).

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

145263656250 is an frugal number, since it uses more digits than its factorization.

145263656250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516531 (or 516503 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 145263656250 in words is "one hundred forty-five billion, two hundred sixty-three million, six hundred fifty-six thousand, two hundred fifty".