158109719040000 has 7280 divisors, whose sum is σ = 783116085136000. Its totient is φ = 31603654656000.

The previous prime is 158109719039999. The next prime is 158109719040001. The reversal of 158109719040000 is 40917901851.

It is a happy number.

158109719040000 is a `hidden beast` number, since 1 + 58 + 1 + 0 + 9 + 7 + 190 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (158109719039999) and next prime (158109719040001).

It is a tau number, because it is divible by the number of its divisors (7280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (158109719040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 8321564159991 + ... + 8321564160009.

Almost surely, 2^{158109719040000} is an apocalyptic number.

158109719040000 is a gapful number since it is divisible by the number (10) 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 158109719040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391558042568000).

158109719040000 is an abundant number, since it is smaller than the sum of its proper divisors (625006366096000).

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

158109719040000 is an frugal number, since it uses more digits than its factorization.

158109719040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 158109719040000 in words is "one hundred fifty-eight trillion, one hundred nine billion, seven hundred nineteen million, forty thousand".