134379000 has 384 divisors, whose sum is σ = 545126400. Its totient is φ = 30326400.

The previous prime is 134378987. The next prime is 134379013. The reversal of 134379000 is 973431.

It is an interprime number because it is at equal distance from previous prime (134378987) and next prime (134379013).

It is a super-3 number, since 3×134379000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 134379000 = 120³ + 510³ = 380³ + 430³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700961 + ... + 1701039.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^134379000 is an apocalyptic number.

134379000 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 134379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272563200).

134379000 is an abundant number, since it is smaller than the sum of its proper divisors (410747400).

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

134379000 is an equidigital number, since it uses as much as digits as its factorization.

134379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 134379000 is about 11592.1956505228. The cubic root of 134379000 is about 512.2049858728.

The spelling of 134379000 in words is "one hundred thirty-four million, three hundred seventy-nine thousand".