134532900 has 180 divisors, whose sum is σ = 462228228. Its totient is φ = 33730560.

The previous prime is 134532887. The next prime is 134532907. The reversal of 134532900 is 9235431.

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 124947684 = 3096^2 + 11178^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×134532900⁴ (a number of 34 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134532907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137212 + ... + 138188.

Almost surely, 2^134532900 is an apocalyptic number.

134532900 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 134532900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231114114).

134532900 is an abundant number, since it is smaller than the sum of its proper divisors (327695328).

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

134532900 is a wasteful number, since it uses less digits than its factorization.

134532900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 134532900 is about 11598.8318377326. The cubic root of 134532900 is about 512.4004486392.

The spelling of 134532900 in words is "one hundred thirty-four million, five hundred thirty-two thousand, nine hundred".