406135616006137 has 8 divisors (see below), whose sum is σ = 416042387383392. Its totient is φ = 396228893421600.

The previous prime is 406135616006101. The next prime is 406135616006201. The reversal of 406135616006137 is 731600616531604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406135616006137 - 2⁷ = 406135616006009 is a prime.

It is a super-2 number, since 2×406135616006137² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406135616006537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4942462 + ... + 28925752.

It is an arithmetic number, because the mean of its divisors is an integer number (52005298422924).

Almost surely, 2^{406135616006137} is an apocalyptic number.

It is an amenable number.

406135616006137 is a deficient number, since it is larger than the sum of its proper divisors (9906771377255).

406135616006137 is a wasteful number, since it uses less digits than its factorization.

406135616006137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24396359.

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 406135616006137 in words is "four hundred six trillion, one hundred thirty-five billion, six hundred sixteen million, six thousand, one hundred thirty-seven".