148692311040 has 1056 divisors, whose sum is σ = 604156492800. Its totient is φ = 31184584704.

The previous prime is 148692311023. The next prime is 148692311081. The reversal of 148692311040 is 40113296841.

It is a super-2 number, since 2×148692311040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 148692311040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890373037 + ... + 890373203.

Almost surely, 2^148692311040 is an apocalyptic number.

148692311040 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 148692311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302078246400).

148692311040 is an abundant number, since it is smaller than the sum of its proper divisors (455464181760).

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

148692311040 is a wasteful number, since it uses less digits than its factorization.

148692311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 148692311040 in words is "one hundred forty-eight billion, six hundred ninety-two million, three hundred eleven thousand, forty".