149438980080 has 1200 divisors, whose sum is σ = 622732017600. Its totient is φ = 33021001728.

The previous prime is 149438980079. The next prime is 149438980081. The reversal of 149438980080 is 80089834941.

149438980080 is a `hidden beast` number, since 1 + 49 + 438 + 98 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (149438980079) and next prime (149438980081).

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

It is a junction number, because it is equal to n+sod(n) for n = 149438979999 and 149438980026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149438980081) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 428191746 + ... + 428192094.

It is an arithmetic number, because the mean of its divisors is an integer number (518943348).

Almost surely, 2^149438980080 is an apocalyptic number.

149438980080 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 149438980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311366008800).

149438980080 is an abundant number, since it is smaller than the sum of its proper divisors (473293037520).

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

149438980080 is a wasteful number, since it uses less digits than its factorization.

149438980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 149438980080 in words is "one hundred forty-nine billion, four hundred thirty-eight million, nine hundred eighty thousand, eighty".