149849436240 has 1800 divisors, whose sum is σ = 680542549632. Its totient is φ = 30400634880.

The previous prime is 149849436203. The next prime is 149849436251. The reversal of 149849436240 is 42634948941.

149849436240 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 4 + 9 + 4 + 3 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2110555405 + ... + 2110555475.

Almost surely, 2^149849436240 is an apocalyptic number.

149849436240 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 149849436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340271274816).

149849436240 is an abundant number, since it is smaller than the sum of its proper divisors (530693113392).

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

149849436240 is a wasteful number, since it uses less digits than its factorization.

149849436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 149849436240 in words is "one hundred forty-nine billion, eight hundred forty-nine million, four hundred thirty-six thousand, two hundred forty".