150412267840 has 112 divisors (see below), whose sum is σ = 373315138560. Its totient is φ = 57658429440.

The previous prime is 150412267771. The next prime is 150412267847. The reversal of 150412267840 is 48762214051.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 150412267793 and 150412267802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150412267847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 948156 + ... + 1095364.

It is an arithmetic number, because the mean of its divisors is an integer number (3333170880).

Almost surely, 2^150412267840 is an apocalyptic number.

150412267840 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 150412267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186657569280).

150412267840 is an abundant number, since it is smaller than the sum of its proper divisors (222902870720).

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

150412267840 is a wasteful number, since it uses less digits than its factorization.

150412267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147360 (or 147350 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 150412267840 in words is "one hundred fifty billion, four hundred twelve million, two hundred sixty-seven thousand, eight hundred forty".