150036535440000 has 5120 divisors, whose sum is σ = 669558472704000. Its totient is φ = 32659200000000.

The previous prime is 150036535439899. The next prime is 150036535440037. The reversal of 150036535440000 is 44535630051.

150036535440000 is a `hidden beast` number, since 1 + 50 + 0 + 3 + 65 + 3 + 544 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 993619439925 + ... + 993619440075.

It is an arithmetic number, because the mean of its divisors is an integer number (130773139200).

Almost surely, 2^{150036535440000} is an apocalyptic number.

150036535440000 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 150036535440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334779236352000).

150036535440000 is an abundant number, since it is smaller than the sum of its proper divisors (519521937264000).

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

150036535440000 is a wasteful number, since it uses less digits than its factorization.

150036535440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 150036535440000 in words is "one hundred fifty trillion, thirty-six billion, five hundred thirty-five million, four hundred forty thousand".