47138000 has 240 divisors, whose sum is σ = 146646864. Its totient is φ = 14515200.

The previous prime is 47137999. The next prime is 47138009. The reversal of 47138000 is 83174.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13868176 + 33269824 = 3724^2 + 5768^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47138009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273982 + ... + 1274018.

Almost surely, 2^47138000 is an apocalyptic number.

47138000 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 47138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73323432).

47138000 is an abundant number, since it is smaller than the sum of its proper divisors (99508864).

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

47138000 is a wasteful number, since it uses less digits than its factorization.

47138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 47138000 is about 6865.7119077340. The cubic root of 47138000 is about 361.2354671420.

The spelling of 47138000 in words is "forty-seven million, one hundred thirty-eight thousand".