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148696128 = 2633719647
BaseRepresentation
bin10001101110011…
…10110001000000
3101100210112202000
420313032301000
5301031234003
622431024000
73453616260
oct1067166100
9340715660
10148696128
1176a31669
124196b000
1324a63599
1415a697a0
15d0c31a3
hex8dcec40

148696128 has 224 divisors, whose sum is σ = 526694400. Its totient is φ = 40186368.

The previous prime is 148696099. The next prime is 148696133. The reversal of 148696128 is 821696841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1486961282 = 44221076964384768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229501 + ... + 230147.

Almost surely, 2148696128 is an apocalyptic number.

148696128 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 148696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

148696128 is an abundant number, since it is smaller than the sum of its proper divisors (377998272).

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

148696128 is a wasteful number, since it uses less digits than its factorization.

148696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 148696128 is about 12194.1021809726. The cubic root of 148696128 is about 529.7852791063.

The spelling of 148696128 in words is "one hundred forty-eight million, six hundred ninety-six thousand, one hundred twenty-eight".