149936941791000 has 1152 divisors, whose sum is σ = 660174372748800. Its totient is φ = 29970004147200.

The previous prime is 149936941790959. The next prime is 149936941791011. The reversal of 149936941791000 is 197149639941.

149936941791000 is a `hidden beast` number, since 1 + 4 + 99 + 369 + 4 + 179 + 10 + 0 + 0 = 666.

149936941791000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 201922407 + ... + 202663593.

It is an arithmetic number, because the mean of its divisors is an integer number (573068031900).

Almost surely, 2^{149936941791000} is an apocalyptic number.

149936941791000 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 149936941791000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330087186374400).

149936941791000 is an abundant number, since it is smaller than the sum of its proper divisors (510237430957800).

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

149936941791000 is a wasteful number, since it uses less digits than its factorization.

149936941791000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741266 (or 741236 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 149936941791000 in words is "one hundred forty-nine trillion, nine hundred thirty-six billion, nine hundred forty-one million, seven hundred ninety-one thousand".