134811691700400 has 2160 divisors, whose sum is σ = 573820966607616. Its totient is φ = 29083760640000.

The previous prime is 134811691700381. The next prime is 134811691700471. The reversal of 134811691700400 is 4007196118431.

134811691700400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 11 + 69 + 170 + 0 + 400 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 51435211090 + ... + 51435213710.

Almost surely, 2^{134811691700400} is an apocalyptic number.

134811691700400 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 134811691700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286910483303808).

134811691700400 is an abundant number, since it is smaller than the sum of its proper divisors (439009274907216).

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

134811691700400 is a wasteful number, since it uses less digits than its factorization.

134811691700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 134811691700400 in words is "one hundred thirty-four trillion, eight hundred eleven billion, six hundred ninety-one million, seven hundred thousand, four hundred".