134612124600 has 384 divisors, whose sum is σ = 447399936000. Its totient is φ = 33406464000.

The previous prime is 134612124557. The next prime is 134612124653. The reversal of 134612124600 is 6421216431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258372340 + ... + 258372860.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104000).

Almost surely, 2^134612124600 is an apocalyptic number.

134612124600 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 134612124600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223699968000).

134612124600 is an abundant number, since it is smaller than the sum of its proper divisors (312787811400).

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

134612124600 is a wasteful number, since it uses less digits than its factorization.

134612124600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 134612124600 in words is "one hundred thirty-four billion, six hundred twelve million, one hundred twenty-four thousand, six hundred".