151252140240 has 640 divisors, whose sum is σ = 583162675200. Its totient is φ = 35808583680.

The previous prime is 151252140227. The next prime is 151252140287. The reversal of 151252140240 is 42041252151.

It is a happy number.

151252140240 is a `hidden beast` number, since 1 + 5 + 1 + 252 + 1 + 402 + 4 + 0 = 666.

It is a super-3 number, since 3×151252140240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300699829 + ... + 300700331.

It is an arithmetic number, because the mean of its divisors is an integer number (911191680).

Almost surely, 2^151252140240 is an apocalyptic number.

151252140240 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 151252140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291581337600).

151252140240 is an abundant number, since it is smaller than the sum of its proper divisors (431910534960).

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

151252140240 is a wasteful number, since it uses less digits than its factorization.

151252140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 151252140240 its reverse (42041252151), we get a palindrome (193293392391).

The spelling of 151252140240 in words is "one hundred fifty-one billion, two hundred fifty-two million, one hundred forty thousand, two hundred forty".