10145981538 has 64 divisors (see below), whose sum is σ = 28110090240. Its totient is φ = 2635318800.

The previous prime is 10145981501. The next prime is 10145981539. The reversal of 10145981538 is 83518954101.

10145981538 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 598 + 1 + 53 + 8 = 666.

It is a super-3 number, since 3×10145981538³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10145981493 and 10145981502.

It is not an unprimeable number, because it can be changed into a prime (10145981539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215898 + ... + 1224213.

It is an arithmetic number, because the mean of its divisors is an integer number (439220160).

Almost surely, 2^10145981538 is an apocalyptic number.

10145981538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10145981538 is an abundant number, since it is smaller than the sum of its proper divisors (17964108702).

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

10145981538 is a wasteful number, since it uses less digits than its factorization.

10145981538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440140 (or 2440134 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 10145981538 in words is "ten billion, one hundred forty-five million, nine hundred eighty-one thousand, five hundred thirty-eight".