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155137920 = 2735721797
BaseRepresentation
bin10010011111100…
…11011110000000
3101210220211012220
421033303132000
5304203403140
623221051040
73562436100
oct1117633600
9353824186
10155137920
117a631463
1243b56a80
13261aa6b2
1416865200
15d946bd0
hex93f3780

155137920 has 384 divisors, whose sum is σ = 615353760. Its totient is φ = 33030144.

The previous prime is 155137883. The next prime is 155137951. The reversal of 155137920 is 29731551.

155137920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599312 + ... + 1599408.

Almost surely, 2155137920 is an apocalyptic number.

155137920 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 155137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307676880).

155137920 is an abundant number, since it is smaller than the sum of its proper divisors (460215840).

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

155137920 is a wasteful number, since it uses less digits than its factorization.

155137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 155137920 is about 12455.4373668691. The cubic root of 155137920 is about 537.3278136044.

It can be divided in two parts, 155 and 137920, that added together give a triangular number (138075 = T525).

The spelling of 155137920 in words is "one hundred fifty-five million, one hundred thirty-seven thousand, nine hundred twenty".