150971040 has 288 divisors, whose sum is σ = 584490816. Its totient is φ = 36495360.

The previous prime is 150971039. The next prime is 150971047. The reversal of 150971040 is 40179051.

150971040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150970995 and 150971013.

It is not an unprimeable number, because it can be changed into a prime (150971047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427504 + ... + 427856.

It is an arithmetic number, because the mean of its divisors is an integer number (2029482).

Almost surely, 2^150971040 is an apocalyptic number.

150971040 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 150971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292245408).

150971040 is an abundant number, since it is smaller than the sum of its proper divisors (433519776).

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

150971040 is a wasteful number, since it uses less digits than its factorization.

150971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150971040 is about 12287.0273052517. The cubic root of 150971040 is about 532.4733571276.

The spelling of 150971040 in words is "one hundred fifty million, nine hundred seventy-one thousand, forty".