45337152 has 168 divisors, whose sum is σ = 143621760. Its totient is φ = 12579840.

The previous prime is 45337151. The next prime is 45337153. The reversal of 45337152 is 25173354.

It is an interprime number because it is at equal distance from previous prime (45337151) and next prime (45337153).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×45337152² = 4110914702942208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45337151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 573849 + ... + 573927.

Almost surely, 2^45337152 is an apocalyptic number.

45337152 is a gapful number since it is divisible by the number (42) 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 45337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71810880).

45337152 is an abundant number, since it is smaller than the sum of its proper divisors (98284608).

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

45337152 is a wasteful number, since it uses less digits than its factorization.

45337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 45337152 is about 6733.2868645261. The cubic root of 45337152 is about 356.5754275991.

The spelling of 45337152 in words is "forty-five million, three hundred thirty-seven thousand, one hundred fifty-two".