134451288976 has 75 divisors (see below), whose sum is σ = 272300873061. Its totient is φ = 64312036992.

The previous prime is 134451288973. The next prime is 134451288997. The reversal of 134451288976 is 679882154431.

The square root of 134451288976 is 366676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 34847928976 + 99603360000 = 186676^2 + 315600^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

Its product of digits (11612160) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 134451288976.

It is not an unprimeable number, because it can be changed into a prime (134451288973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1233498010 + ... + 1233498118.

Almost surely, 2^134451288976 is an apocalyptic number.

134451288976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134451288976 is the 366676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134451288976

134451288976 is an abundant number, since it is smaller than the sum of its proper divisors (137849584085).

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

134451288976 is an frugal number, since it uses more digits than its factorization.

134451288976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 140 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 134451288976 in words is "one hundred thirty-four billion, four hundred fifty-one million, two hundred eighty-eight thousand, nine hundred seventy-six".