150355645440 has 1584 divisors, whose sum is σ = 667411347456. Its totient is φ = 28612362240.

The previous prime is 150355645423. The next prime is 150355645469. The reversal of 150355645440 is 44546553051.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 150355645392 and 150355645401.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1183902657 + ... + 1183902783.

Almost surely, 2^150355645440 is an apocalyptic number.

150355645440 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 150355645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333705673728).

150355645440 is an abundant number, since it is smaller than the sum of its proper divisors (517055702016).

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

150355645440 is a wasteful number, since it uses less digits than its factorization.

150355645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 150355645440 in words is "one hundred fifty billion, three hundred fifty-five million, six hundred forty-five thousand, four hundred forty".