149117700690 has 192 divisors, whose sum is σ = 457223719680. Its totient is φ = 33009223680.

The previous prime is 149117700659. The next prime is 149117700713. The reversal of 149117700690 is 96007711941.

149117700690 is a `hidden beast` number, since 1 + 491 + 1 + 7 + 70 + 0 + 6 + 90 = 666.

It is a super-3 number, since 3×149117700690³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3517641 + ... + 3559779.

It is an arithmetic number, because the mean of its divisors is an integer number (2381373540).

Almost surely, 2^149117700690 is an apocalyptic number.

149117700690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149117700690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228611859840).

149117700690 is an abundant number, since it is smaller than the sum of its proper divisors (308106018990).

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

149117700690 is a wasteful number, since it uses less digits than its factorization.

149117700690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42337 (or 42334 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 149117700690 in words is "one hundred forty-nine billion, one hundred seventeen million, seven hundred thousand, six hundred ninety".