151956259840 has 1056 divisors, whose sum is σ = 508085706240. Its totient is φ = 42939187200.

The previous prime is 151956259831. The next prime is 151956259909. The reversal of 151956259840 is 48952659151.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1923496921 + ... + 1923496999.

Almost surely, 2^151956259840 is an apocalyptic number.

151956259840 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 151956259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254042853120).

151956259840 is an abundant number, since it is smaller than the sum of its proper divisors (356129446400).

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

151956259840 is a wasteful number, since it uses less digits than its factorization.

151956259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 151956259840 in words is "one hundred fifty-one billion, nine hundred fifty-six million, two hundred fifty-nine thousand, eight hundred forty".