134351125410150 has 288 divisors, whose sum is σ = 394620768547200. Its totient is φ = 32499736012800.

The previous prime is 134351125410137. The next prime is 134351125410163. The reversal of 134351125410150 is 51014521153431.

134351125410150 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 51 + 12 + 541 + 0 + 1 + 50 = 666.

134351125410150 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134351125410137) and next prime (134351125410163).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6180177981 + ... + 6180199719.

It is an arithmetic number, because the mean of its divisors is an integer number (1370211001900).

Almost surely, 2^{134351125410150} is an apocalyptic number.

134351125410150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134351125410150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197310384273600).

134351125410150 is an abundant number, since it is smaller than the sum of its proper divisors (260269643137050).

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

134351125410150 is a wasteful number, since it uses less digits than its factorization.

134351125410150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24404 (or 24396 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 134351125410150 its reverse (51014521153431), we get a palindrome (185365646563581).

The spelling of 134351125410150 in words is "one hundred thirty-four trillion, three hundred fifty-one billion, one hundred twenty-five million, four hundred ten thousand, one hundred fifty".