158134405645152 has 288 divisors, whose sum is σ = 489756795746400. Its totient is φ = 48208210477056.

The previous prime is 158134405645033. The next prime is 158134405645169. The reversal of 158134405645152 is 251546504431851.

158134405645152 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 3 + 440 + 5 + 6 + 45 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×158134405645152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150895368 + ... + 1151032760.

It is an arithmetic number, because the mean of its divisors is an integer number (1700544429675).

Almost surely, 2^{158134405645152} is an apocalyptic number.

158134405645152 is a gapful number since it is divisible by the number (12) 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 158134405645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244878397873200).

158134405645152 is an abundant number, since it is smaller than the sum of its proper divisors (331622390101248).

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

158134405645152 is a wasteful number, since it uses less digits than its factorization.

158134405645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144710 (or 144699 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 158134405645152 in words is "one hundred fifty-eight trillion, one hundred thirty-four billion, four hundred five million, six hundred forty-five thousand, one hundred fifty-two".