158262201342432 has 288 divisors, whose sum is σ = 501180924666240. Its totient is φ = 46969359528960.

The previous prime is 158262201342407. The next prime is 158262201342449. The reversal of 158262201342432 is 234243102262851.

158262201342432 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 6 + 2 + 201 + 3 + 4 + 2 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34565319 + ... + 38875257.

It is an arithmetic number, because the mean of its divisors is an integer number (1740211543980).

Almost surely, 2^{158262201342432} is an apocalyptic number.

158262201342432 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 158262201342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250590462333120).

158262201342432 is an abundant number, since it is smaller than the sum of its proper divisors (342918723323808).

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

158262201342432 is a wasteful number, since it uses less digits than its factorization.

158262201342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310206 (or 4310195 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 158262201342432 in words is "one hundred fifty-eight trillion, two hundred sixty-two billion, two hundred one million, three hundred forty-two thousand, four hundred thirty-two".