151736331332040 has 512 divisors, whose sum is σ = 562550147712000. Its totient is φ = 31883764432896.

The previous prime is 151736331331999. The next prime is 151736331332059. The reversal of 151736331332040 is 40233133637151.

It is a super-2 number, since 2×151736331332040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 151736331331983 and 151736331332001.

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, 9426365272 + ... + 9426381368.

It is an arithmetic number, because the mean of its divisors is an integer number (1098730757250).

Almost surely, 2^{151736331332040} is an apocalyptic number.

151736331332040 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 151736331332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281275073856000).

151736331332040 is an abundant number, since it is smaller than the sum of its proper divisors (410813816379960).

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

151736331332040 is a wasteful number, since it uses less digits than its factorization.

151736331332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19609 (or 19605 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

Adding to 151736331332040 its reverse (40233133637151), we get a palindrome (191969464969191).

The spelling of 151736331332040 in words is "one hundred fifty-one trillion, seven hundred thirty-six billion, three hundred thirty-one million, three hundred thirty-two thousand, forty".