150873840 has 280 divisors, whose sum is σ = 569234400. Its totient is φ = 36951552.

The previous prime is 150873823. The next prime is 150873857. The reversal of 150873840 is 48378051.

150873840 is a `hidden beast` number, since 1 + 508 + 73 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (150873823) and next prime (150873857).

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 = 150873795 and 150873804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 758061 + ... + 758259.

It is an arithmetic number, because the mean of its divisors is an integer number (2032980).

Almost surely, 2^150873840 is an apocalyptic number.

150873840 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 150873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284617200).

150873840 is an abundant number, since it is smaller than the sum of its proper divisors (418360560).

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

150873840 is a wasteful number, since it uses less digits than its factorization.

150873840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 150873840 is about 12283.0712771684. The cubic root of 150873840 is about 532.3590581164.

The spelling of 150873840 in words is "one hundred fifty million, eight hundred seventy-three thousand, eight hundred forty".