150867742293408 has 288 divisors, whose sum is σ = 477921344160960. Its totient is φ = 41500774318080.

The previous prime is 150867742293397. The next prime is 150867742293409. The reversal of 150867742293408 is 804392247768051.

150867742293408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150867742293408² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150867742293409) 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, 46588363 + ... + 49721333.

It is an arithmetic number, because the mean of its divisors is an integer number (1659449111670).

It is a 1-persistent number, because it is pandigital, but 2⋅150867742293408 = 301735484586816 is not.

Almost surely, 2^{150867742293408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150867742293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238960672080480).

150867742293408 is an abundant number, since it is smaller than the sum of its proper divisors (327053601867552).

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

150867742293408 is a wasteful number, since it uses less digits than its factorization.

150867742293408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133380 (or 3133365 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 150867742293408 in words is "one hundred fifty trillion, eight hundred sixty-seven billion, seven hundred forty-two million, two hundred ninety-three thousand, four hundred eight".