134477820 has 240 divisors, whose sum is σ = 472016160. Its totient is φ = 31850496.

The previous prime is 134477809. The next prime is 134477831. The reversal of 134477820 is 28774431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134477809) and next prime (134477831).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 523132 + ... + 523388.

It is an arithmetic number, because the mean of its divisors is an integer number (1966734).

Almost surely, 2^134477820 is an apocalyptic number.

134477820 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 134477820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236008080).

134477820 is an abundant number, since it is smaller than the sum of its proper divisors (337538340).

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

134477820 is a wasteful number, since it uses less digits than its factorization.

134477820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 134477820 is about 11596.4572176161. The cubic root of 134477820 is about 512.3305106804.

The spelling of 134477820 in words is "one hundred thirty-four million, four hundred seventy-seven thousand, eight hundred twenty".