33540150540 has 192 divisors, whose sum is σ = 104595886080. Its totient is φ = 7974650880.

The previous prime is 33540150443. The next prime is 33540150547. The reversal of 33540150540 is 4505104533.

It is a super-2 number, since 2×33540150540² (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 a junction number, because it is equal to n+sod(n) for n = 33540150498 and 33540150507.

It is not an unprimeable number, because it can be changed into a prime (33540150547) 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, 17868082 + ... + 17869958.

It is an arithmetic number, because the mean of its divisors is an integer number (544770240).

Almost surely, 2^33540150540 is an apocalyptic number.

33540150540 is a gapful number since it is divisible by the number (30) 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 33540150540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52297943040).

33540150540 is an abundant number, since it is smaller than the sum of its proper divisors (71055735540).

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

33540150540 is a wasteful number, since it uses less digits than its factorization.

33540150540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 33540150540 in words is "thirty-three billion, five hundred forty million, one hundred fifty thousand, five hundred forty".