126167136 has 96 divisors (see below), whose sum is σ = 341778528. Its totient is φ = 40734720.

The previous prime is 126167131. The next prime is 126167137. The reversal of 126167136 is 631761621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 126167097 and 126167106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126167131) 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, 696966 + ... + 697146.

It is an arithmetic number, because the mean of its divisors is an integer number (3560193).

Almost surely, 2^126167136 is an apocalyptic number.

126167136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170889264).

126167136 is an abundant number, since it is smaller than the sum of its proper divisors (215611392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126167136 is a wasteful number, since it uses less digits than its factorization.

126167136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 126167136 is about 11232.4145222655. The cubic root of 126167136 is about 501.5513629014.

The spelling of 126167136 in words is "one hundred twenty-six million, one hundred sixty-seven thousand, one hundred thirty-six".