145115536 has 40 divisors (see below), whose sum is σ = 307982520. Its totient is φ = 65931264.

The previous prime is 145115527. The next prime is 145115543. The reversal of 145115536 is 635511541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73205136 + 71910400 = 8556^2 + 8480^2 .

It is a super-3 number, since 3×145115536³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145115498 and 145115507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311 + ... + 17086.

It is an arithmetic number, because the mean of its divisors is an integer number (7699563).

Almost surely, 2^145115536 is an apocalyptic number.

145115536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145115536 is an abundant number, since it is smaller than the sum of its proper divisors (162866984).

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

145115536 is a wasteful number, since it uses less digits than its factorization.

145115536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18451 (or 18445 counting only the distinct ones).

The product of its digits is 9000, while the sum is 31.

The square root of 145115536 is about 12046.3909948167. The cubic root of 145115536 is about 525.4982854990.

The spelling of 145115536 in words is "one hundred forty-five million, one hundred fifteen thousand, five hundred thirty-six".