134101002432124 has 192 divisors, whose sum is σ = 298108774656000. Its totient is φ = 52442592846336.

The previous prime is 134101002432049. The next prime is 134101002432269. The reversal of 134101002432124 is 421234200101431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 134101002432092 and 134101002432101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9916506027 + ... + 9916519549.

It is an arithmetic number, because the mean of its divisors is an integer number (1552649868000).

Almost surely, 2^{134101002432124} is an apocalyptic number.

134101002432124 is a gapful number since it is divisible by the number (14) 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 134101002432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149054387328000).

134101002432124 is an abundant number, since it is smaller than the sum of its proper divisors (164007772223876).

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

134101002432124 is a wasteful number, since it uses less digits than its factorization.

134101002432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19897 (or 19881 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 134101002432124 its reverse (421234200101431), we get a palindrome (555335202533555).

The spelling of 134101002432124 in words is "one hundred thirty-four trillion, one hundred one billion, two million, four hundred thirty-two thousand, one hundred twenty-four".