150089940 has 576 divisors, whose sum is σ = 660441600. Its totient is φ = 27095040.

The previous prime is 150089921. The next prime is 150089963. The reversal of 150089940 is 49980051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150089895 and 150089904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8828812 + ... + 8828828.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^150089940 is an apocalyptic number.

150089940 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 150089940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

150089940 is an abundant number, since it is smaller than the sum of its proper divisors (510351660).

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

150089940 is a wasteful number, since it uses less digits than its factorization.

150089940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 150089940 is about 12251.1199488047. The cubic root of 150089940 is about 531.4354583865.

The spelling of 150089940 in words is "one hundred fifty million, eighty-nine thousand, nine hundred forty".