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137074316148 = 223671121923127
BaseRepresentation
bin111111110101001000…
…1000001001101110100
3111002210221111202000000
41333222101001031310
54221212011104043
6142545430151300
712621554314530
oct1775221011564
9432727452000
10137074316148
1153150972600
1222695ab2530
13cc066caa13
1468c4c4cbc0
153873e5c2d3
hex1fea441374

137074316148 has 1008 divisors, whose sum is σ = 500162396160. Its totient is φ = 32009281920.

The previous prime is 137074316111. The next prime is 137074316149. The reversal of 137074316148 is 841613470731.

137074316148 is a `hidden beast` number, since 1 + 3 + 70 + 7 + 431 + 6 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137074316149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1079325261 + ... + 1079325387.

Almost surely, 2137074316148 is an apocalyptic number.

137074316148 is a gapful number since it is divisible by the number (18) 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 137074316148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250081198080).

137074316148 is an abundant number, since it is smaller than the sum of its proper divisors (363088080012).

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

137074316148 is a wasteful number, since it uses less digits than its factorization.

137074316148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 137074316148 its reverse (841613470731), we get a palindrome (978687786879).

The spelling of 137074316148 in words is "one hundred thirty-seven billion, seventy-four million, three hundred sixteen thousand, one hundred forty-eight".