149937678072000 has 3584 divisors, whose sum is σ = 719052886056960. Its totient is φ = 29684131430400.

The previous prime is 149937678071953. The next prime is 149937678072019. The reversal of 149937678072000 is 270876739941.

149937678072000 is a `hidden beast` number, since 1 + 499 + 3 + 7 + 6 + 78 + 0 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 188127575602 + ... + 188127576398.

It is an arithmetic number, because the mean of its divisors is an integer number (200628595440).

Almost surely, 2^{149937678072000} is an apocalyptic number.

149937678072000 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 149937678072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359526443028480).

149937678072000 is an abundant number, since it is smaller than the sum of its proper divisors (569115207984960).

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

149937678072000 is a wasteful number, since it uses less digits than its factorization.

149937678072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 149937678072000 in words is "one hundred forty-nine trillion, nine hundred thirty-seven billion, six hundred seventy-eight million, seventy-two thousand".