149193031680 has 1360 divisors, whose sum is σ = 675999206784. Its totient is φ = 30576476160.

The previous prime is 149193031643. The next prime is 149193031717. The reversal of 149193031680 is 86130391941.

149193031680 is a `hidden beast` number, since 149 + 193 + 0 + 316 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149193031643) and next prime (149193031717).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2043740124 + ... + 2043740196.

Almost surely, 2^149193031680 is an apocalyptic number.

149193031680 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 149193031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337999603392).

149193031680 is an abundant number, since it is smaller than the sum of its proper divisors (526806175104).

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

149193031680 is an frugal number, since it uses more digits than its factorization.

149193031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 149193031680 in words is "one hundred forty-nine billion, one hundred ninety-three million, thirty-one thousand, six hundred eighty".