151387590816 has 384 divisors, whose sum is σ = 553342648320. Its totient is φ = 39118464000.

The previous prime is 151387590811. The next prime is 151387590853. The reversal of 151387590816 is 618095783151.

It is a happy number.

151387590816 is a `hidden beast` number, since 1 + 5 + 1 + 38 + 7 + 590 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (151387590811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13100241 + ... + 13111791.

It is an arithmetic number, because the mean of its divisors is an integer number (1440996480).

Almost surely, 2^151387590816 is an apocalyptic number.

151387590816 is a gapful number since it is divisible by the number (16) 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 151387590816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276671324160).

151387590816 is an abundant number, since it is smaller than the sum of its proper divisors (401955057504).

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

151387590816 is a wasteful number, since it uses less digits than its factorization.

151387590816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 151387590816 in words is "one hundred fifty-one billion, three hundred eighty-seven million, five hundred ninety thousand, eight hundred sixteen".