132767137 has 8 divisors (see below), whose sum is σ = 136515456. Its totient is φ = 129027312.

The previous prime is 132767119. The next prime is 132767149. The reversal of 132767137 is 731767231.

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 132767137 - 2⁷ = 132767009 is a prime.

It is a super-2 number, since 2×132767137² = 35254225334353538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132767096 and 132767105.

It is not an unprimeable number, because it can be changed into a prime (132767177) 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 7 ways as a sum of consecutive naturals, for example, 42408 + ... + 45430.

It is an arithmetic number, because the mean of its divisors is an integer number (17064432).

Almost surely, 2^132767137 is an apocalyptic number.

It is an amenable number.

132767137 is a deficient number, since it is larger than the sum of its proper divisors (3748319).

132767137 is a wasteful number, since it uses less digits than its factorization.

132767137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247.

The product of its digits is 37044, while the sum is 37.

The square root of 132767137 is about 11522.4622802594. The cubic root of 132767137 is about 510.1487929303.

The spelling of 132767137 in words is "one hundred thirty-two million, seven hundred sixty-seven thousand, one hundred thirty-seven".