40137008145003 has 48 divisors (see below), whose sum is σ = 74234915778816. Its totient is φ = 20286869670720.

The previous prime is 40137008144969. The next prime is 40137008145029. The reversal of 40137008145003 is 30054180073104.

It is a happy number.

40137008145003 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 70 + 0 + 81 + 4 + 500 + 3 = 666.

It is not a de Polignac number, because 40137008145003 - 2⁹ = 40137008144491 is a prime.

It is a super-2 number, since 2×40137008145003² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40137008145083) 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 47 ways as a sum of consecutive naturals, for example, 782646801 + ... + 782698082.

It is an arithmetic number, because the mean of its divisors is an integer number (1546560745392).

Almost surely, 2^{40137008145003} is an apocalyptic number.

40137008145003 is a deficient number, since it is larger than the sum of its proper divisors (34097907633813).

40137008145003 is a wasteful number, since it uses less digits than its factorization.

40137008145003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565344944 (or 1565344941 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40137008145003 in words is "forty trillion, one hundred thirty-seven billion, eight million, one hundred forty-five thousand, three".