40137345 has 24 divisors (see below), whose sum is σ = 69878952. Its totient is φ = 21312000.

The previous prime is 40137337. The next prime is 40137359. The reversal of 40137345 is 54373104.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 33907329 = 2496^2 + 5823^2 .

It is not a de Polignac number, because 40137345 - 2³ = 40137337 is a prime.

It is a super-2 number, since 2×40137345² = 3222012927298050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8995 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (2911623).

Almost surely, 2^40137345 is an apocalyptic number.

40137345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40137345 is a deficient number, since it is larger than the sum of its proper divisors (29741607).

40137345 is a wasteful number, since it uses less digits than its factorization.

40137345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40137345 is about 6335.4040912952. The cubic root of 40137345 is about 342.3861699266.

The spelling of 40137345 in words is "forty million, one hundred thirty-seven thousand, three hundred forty-five".