150649308810000 has 9000 divisors, whose sum is σ = 795962478474240. Its totient is φ = 27159390720000.

The previous prime is 150649308809947. The next prime is 150649308810017. The reversal of 150649308810000 is 18803946051.

150649308810000 is a `hidden beast` number, since 1 + 50 + 6 + 493 + 0 + 8 + 8 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9000).

It is a super-2 number, since 2×150649308810000² (a number of 29 digits) contains 22 as substring.

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

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 1799 ways as a sum of consecutive naturals, for example, 1186215029937 + ... + 1186215030063.

Almost surely, 2^{150649308810000} is an apocalyptic number.

150649308810000 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 150649308810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397981239237120).

150649308810000 is an abundant number, since it is smaller than the sum of its proper divisors (645313169664240).

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

150649308810000 is a wasteful number, since it uses less digits than its factorization.

150649308810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 150649308810000 in words is "one hundred fifty trillion, six hundred forty-nine billion, three hundred eight million, eight hundred ten thousand".