149343101820 has 288 divisors, whose sum is σ = 521484687360. Its totient is φ = 34240250880.

The previous prime is 149343101819. The next prime is 149343101821. The reversal of 149343101820 is 28101343941.

149343101820 is a `hidden beast` number, since 1 + 49 + 3 + 431 + 0 + 182 + 0 = 666.

149343101820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149343101819) and next prime (149343101821).

It is a super-2 number, since 2×149343101820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149343101821) 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 95 ways as a sum of consecutive naturals, for example, 4034637 + ... + 4071483.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710720).

Almost surely, 2^149343101820 is an apocalyptic number.

149343101820 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 149343101820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260742343680).

149343101820 is an abundant number, since it is smaller than the sum of its proper divisors (372141585540).

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

149343101820 is a wasteful number, since it uses less digits than its factorization.

149343101820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36985 (or 36980 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 149343101820 in words is "one hundred forty-nine billion, three hundred forty-three million, one hundred one thousand, eight hundred twenty".