46138000 has 160 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 16332800.

The previous prime is 46137989. The next prime is 46138003. The reversal of 46138000 is 83164.

It is not an unprimeable number, because it can be changed into a prime (46138003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781971 + ... + 782029.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 2^46138000 is an apocalyptic number.

46138000 is a gapful number since it is divisible by the number (40) 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 46138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

46138000 is an abundant number, since it is smaller than the sum of its proper divisors (79211120).

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

46138000 is a wasteful number, since it uses less digits than its factorization.

46138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 46138000 is about 6792.4958594025. The cubic root of 46138000 is about 358.6627341799.

The spelling of 46138000 in words is "forty-six million, one hundred thirty-eight thousand".