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151601152 = 21419487
BaseRepresentation
bin10010000100101…
…00000000000000
3101120021010200111
421002110000000
5302302214102
623013201104
73520405603
oct1102240000
9346233614
10151601152
117863620a
1242930194
132553c931
14161c433a
15d498cd7
hex9094000

151601152 has 60 divisors (see below), whose sum is σ = 319805920. Its totient is φ = 71663616.

The previous prime is 151601141. The next prime is 151601159. The reversal of 151601152 is 251106151.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151601159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311053 + ... + 311539.

Almost surely, 2151601152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159902960).

151601152 is an abundant number, since it is smaller than the sum of its proper divisors (168204768).

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

151601152 is an frugal number, since it uses more digits than its factorization.

151601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 151601152 is about 12312.6419585725. The cubic root of 151601152 is about 533.2131284653.

The spelling of 151601152 in words is "one hundred fifty-one million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 487 512 608 974 1024 1216 1948 2048 2432 3896 4096 4864 7792 8192 9253 9728 15584 16384 18506 19456 31168 37012 38912 62336 74024 77824 124672 148048 155648 249344 296096 311296 498688 592192 997376 1184384 1994752 2368768 3989504 4737536 7979008 9475072 18950144 37900288 75800576 151601152