134837040 has 160 divisors (see below), whose sum is σ = 469969920. Its totient is φ = 31730688.

The previous prime is 134837029. The next prime is 134837051. The reversal of 134837040 is 40738431.

It is an interprime number because it is at equal distance from previous prime (134837029) and next prime (134837051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134836989 and 134837007.

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, 70821 + ... + 72699.

It is an arithmetic number, because the mean of its divisors is an integer number (2937312).

Almost surely, 2^134837040 is an apocalyptic number.

134837040 is a gapful number since it is divisible by the number (10) 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 134837040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234984960).

134837040 is an abundant number, since it is smaller than the sum of its proper divisors (335132880).

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

134837040 is a wasteful number, since it uses less digits than its factorization.

134837040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 134837040 is about 11611.9352392269. The cubic root of 134837040 is about 512.7862877963.

The spelling of 134837040 in words is "one hundred thirty-four million, eight hundred thirty-seven thousand, forty".