134101033154334 has 256 divisors, whose sum is σ = 349224576768000. Its totient is φ = 37851420579840.

The previous prime is 134101033154267. The next prime is 134101033154359. The reversal of 134101033154334 is 433451330101431.

134101033154334 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 0 + 1 + 0 + 3 + 315 + 4 + 334 = 666.

It is a super-3 number, since 3×134101033154334³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28681807 + ... + 33027989.

It is an arithmetic number, because the mean of its divisors is an integer number (1364158503000).

Almost surely, 2^{134101033154334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134101033154334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174612288384000).

134101033154334 is an abundant number, since it is smaller than the sum of its proper divisors (215123543613666).

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

134101033154334 is a wasteful number, since it uses less digits than its factorization.

134101033154334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346320 (or 4346314 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 134101033154334 its reverse (433451330101431), we get a palindrome (567552363255765).

The spelling of 134101033154334 in words is "one hundred thirty-four trillion, one hundred one billion, thirty-three million, one hundred fifty-four thousand, three hundred thirty-four".