134526900 has 72 divisors (see below), whose sum is σ = 390912480. Its totient is φ = 35719040.

The previous prime is 134526893. The next prime is 134526901. The reversal of 134526900 is 9625431.

It is a super-2 number, since 2×134526900² = 36194973647220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134526901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79867 + ... + 81533.

It is an arithmetic number, because the mean of its divisors is an integer number (5429340).

Almost surely, 2^134526900 is an apocalyptic number.

134526900 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 134526900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195456240).

134526900 is an abundant number, since it is smaller than the sum of its proper divisors (256385580).

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

134526900 is a wasteful number, since it uses less digits than its factorization.

134526900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 134526900 is about 11598.5731881124. The cubic root of 134526900 is about 512.3928310517.

The spelling of 134526900 in words is "one hundred thirty-four million, five hundred twenty-six thousand, nine hundred".