437342136 has 128 divisors (see below), whose sum is σ = 1443432960. Its totient is φ = 106905600.

The previous prime is 437342107. The next prime is 437342219. The reversal of 437342136 is 631243734.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 437342097 and 437342106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24456 + ... + 38376.

It is an arithmetic number, because the mean of its divisors is an integer number (11276820).

Almost surely, 2^437342136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 437342136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721716480).

437342136 is an abundant number, since it is smaller than the sum of its proper divisors (1006090824).

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

437342136 is a wasteful number, since it uses less digits than its factorization.

437342136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13961 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 437342136 is about 20912.7266514914. The cubic root of 437342136 is about 759.0559237784.

The spelling of 437342136 in words is "four hundred thirty-seven million, three hundred forty-two thousand, one hundred thirty-six".