45262137000 has 256 divisors, whose sum is σ = 151348953600. Its totient is φ = 11232460800.

The previous prime is 45262136987. The next prime is 45262137007. The reversal of 45262137000 is 73126254.

It is a Cunningham number, because it is equal to 212749²-1.

It is a super-2 number, since 2×45262137000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45262137007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544136 + ... + 2561864.

It is an arithmetic number, because the mean of its divisors is an integer number (591206850).

Almost surely, 2^45262137000 is an apocalyptic number.

45262137000 is a gapful number since it is divisible by the number (40) 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 45262137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75674476800).

45262137000 is an abundant number, since it is smaller than the sum of its proper divisors (106086816600).

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

45262137000 is a wasteful number, since it uses less digits than its factorization.

45262137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 45262137000 in words is "forty-five billion, two hundred sixty-two million, one hundred thirty-seven thousand".