149202816273936 has 560 divisors, whose sum is σ = 479327267948544. Its totient is φ = 44730888339456.

The previous prime is 149202816273911. The next prime is 149202816273989. The reversal of 149202816273936 is 639372618202941.

149202816273936 is a `hidden beast` number, since 1 + 4 + 9 + 202 + 8 + 16 + 27 + 393 + 6 = 666.

149202816273936 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149202816273936² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4957383240 + ... + 4957413336.

Almost surely, 2^{149202816273936} is an apocalyptic number.

149202816273936 is a gapful number since it is divisible by the number (16) 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 149202816273936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239663633974272).

149202816273936 is an abundant number, since it is smaller than the sum of its proper divisors (330124451674608).

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

149202816273936 is a wasteful number, since it uses less digits than its factorization.

149202816273936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31250 (or 31229 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 149202816273936 in words is "one hundred forty-nine trillion, two hundred two billion, eight hundred sixteen million, two hundred seventy-three thousand, nine hundred thirty-six".