151631040 has 224 divisors, whose sum is σ = 534594816. Its totient is φ = 36106240.

The previous prime is 151631023. The next prime is 151631047. The reversal of 151631040 is 40136151.

151631040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151630998 and 151631016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151631047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876394 + ... + 876566.

It is an arithmetic number, because the mean of its divisors is an integer number (2386584).

Almost surely, 2^151631040 is an apocalyptic number.

151631040 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 151631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267297408).

151631040 is an abundant number, since it is smaller than the sum of its proper divisors (382963776).

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

151631040 is a wasteful number, since it uses less digits than its factorization.

151631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 151631040 is about 12313.8556106526. The cubic root of 151631040 is about 533.2481669563.

Adding to 151631040 its reverse (40136151), we get a palindrome (191767191).

The spelling of 151631040 in words is "one hundred fifty-one million, six hundred thirty-one thousand, forty".