145356137536 has 21 divisors (see below), whose sum is σ = 288447137989. Its totient is φ = 72676543744.

The previous prime is 145356137497. The next prime is 145356137539. The reversal of 145356137536 is 635731653541.

The square root of 145356137536 is 381256.

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

It can be written as a sum of positive squares in only one way, i.e., 109613966400 + 35742171136 = 331080^2 + 189056^2 .

It is a super-2 number, since 2×145356137536² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145356137536.

It is not an unprimeable number, because it can be changed into a prime (145356137539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3026220 + ... + 3073876.

Almost surely, 2^145356137536 is an apocalyptic number.

145356137536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145356137536 is the 381256-th square number.

It is an amenable number.

145356137536 is a deficient number, since it is larger than the sum of its proper divisors (143091000453).

145356137536 is an frugal number, since it uses more digits than its factorization.

145356137536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95326 (or 47659 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 49.

Multiplying 145356137536 by its sum of digits (49), we get a square (7122450739264 = 2668792²).

The spelling of 145356137536 in words is "one hundred forty-five billion, three hundred fifty-six million, one hundred thirty-seven thousand, five hundred thirty-six".