134416257300 has 1152 divisors, whose sum is σ = 517406883840. Its totient is φ = 29652480000.

The previous prime is 134416257263. The next prime is 134416257379. The reversal of 134416257300 is 3752614431.

134416257300 is a `hidden beast` number, since 1 + 344 + 1 + 6 + 2 + 5 + 7 + 300 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1026078235 + ... + 1026078365.

It is an arithmetic number, because the mean of its divisors is an integer number (449137920).

Almost surely, 2^134416257300 is an apocalyptic number.

134416257300 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 134416257300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258703441920).

134416257300 is an abundant number, since it is smaller than the sum of its proper divisors (382990626540).

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

134416257300 is a wasteful number, since it uses less digits than its factorization.

134416257300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 134416257300 in words is "one hundred thirty-four billion, four hundred sixteen million, two hundred fifty-seven thousand, three hundred".