137158476401 has 16 divisors (see below), whose sum is σ = 147471494400. Its totient is φ = 127174287888.

The previous prime is 137158476353. The next prime is 137158476461. The reversal of 137158476401 is 104674851731.

It is a cyclic number.

It is not a de Polignac number, because 137158476401 - 2¹⁴ = 137158460017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137158476461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15035 + ... + 523968.

It is an arithmetic number, because the mean of its divisors is an integer number (9216968400).

Almost surely, 2^137158476401 is an apocalyptic number.

It is an amenable number.

137158476401 is a deficient number, since it is larger than the sum of its proper divisors (10313017999).

137158476401 is a wasteful number, since it uses less digits than its factorization.

137158476401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539308.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 137158476401 in words is "one hundred thirty-seven billion, one hundred fifty-eight million, four hundred seventy-six thousand, four hundred one".