151529910840 has 1344 divisors, whose sum is σ = 671774238720. Its totient is φ = 30373056000.

The previous prime is 151529910827. The next prime is 151529910853. The reversal of 151529910840 is 48019925151.

151529910840 is a `hidden beast` number, since 1 + 515 + 2 + 9 + 91 + 0 + 8 + 40 = 666.

151529910840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151529910827) and next prime (151529910853).

It is a super-2 number, since 2×151529910840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 487234285 + ... + 487234595.

Almost surely, 2^151529910840 is an apocalyptic number.

151529910840 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 151529910840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335887119360).

151529910840 is an abundant number, since it is smaller than the sum of its proper divisors (520244327880).

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

151529910840 is a wasteful number, since it uses less digits than its factorization.

151529910840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 151529910840 in words is "one hundred fifty-one billion, five hundred twenty-nine million, nine hundred ten thousand, eight hundred forty".